First, I need to understand the scoring system from the image. There are three concentric circles, and each arrow hitting a circle gives points based on which area it hits. The areas are probably the innermost circle, the middle ring, and the outer ring.

From the image:

• The first target has "14 Points" with two arrows. Let me see where they hit.

Looking at the first target: There are two arrows. One arrow is in the innermost circle (let's call that area A), and the other is in the middle ring (area B). But the text says "14 Points" for two arrows. Similarly, the second target has "16 Points" with two arrows.

I need to figure out how many points each area is worth.

Assume:

• Area A: innermost circle, highest points.

• Area B: middle ring, medium points.

• Area C: outer ring, lowest points.

Now, for the first attempt: 14 points with two arrows. From the arrows, one is in A and one is in B.

Similarly, second attempt: 16 points, two arrows. One is in A and one is in B? Let's see the arrows.

In the second target, the arrows: one is in A, and one is in B? No, looking closely:

In the first target: left arrow is in A (innermost), right arrow is in B (middle ring).

In the second target: the arrow positions— one is in A, and the other seems to be in B or C? Let me describe:

The image shows three targets side by side.

First target: labeled "14 Points". Two arrows: one arrow pointing to the innermost circle (A), and another arrow pointing to the middle ring (B). No arrow in outer ring (C).

Second target: labeled "16 Points". Two arrows: one arrow pointing to A, and another arrow pointing to... it looks like it's pointing to B or C? The arrow positions: one is clearly in A, and the other is in the middle ring, but let's confirm.

Actually, in the second target, both arrows seem to be in different areas. One is in A, and the other is in B? But for 16 points.

Perhaps I need to see if the outer ring is involved.

In both first and second targets, only A and B are hit; C is not hit in these attempts.

But for the third attempt, there is one arrow in A and one in C, I think.

Third target: labeled "???" and two arrows: one pointing to A (innermost), and another pointing to the outer ring (C).

Now, Diana throws two darts each time, so each attempt has two hits.

First attempt: hits in A and B, total 14 points.

Second attempt: hits in A and B, total 16 points? But that can't be, because if both have same hits, points should be same, but 14 vs 16.

Perhaps I misread the arrows.

Let me look again at the second target.

Second target: "16 Points". Arrows: one arrow is in A, and the other arrow— let's see the position. It might be in B or C.

In the image, for the second target, the two arrows: one is clearly in the center A, and the other is in the middle ring B? But if both first and second have A and B, points should be same, but 14 ≠ 16, so contradiction.

Perhaps the arrows are not both in B for both.

Another possibility: maybe for the second target, one arrow is in A and one is in C.

But let's see the visual.

I should assign variables.

Let:

• Let P_A be points for hitting area A (innermost)

• P_B for area B (middle)

• P_C for area C (outer)

Now, from first attempt: two arrows, one in A, one in B, total points: P_A + P_B = 14

Second attempt: two arrows, but where are they?

From the image: in second target, arrows: one is in A, and the other— let's see the arrow positions carefully.

In the first target, the two arrows: one is on the left, hitting A, and one on the right, hitting B.

In the second target, the arrows: one is on the left, hitting A, and one on the right— this one seems to be hitting the outer ring? No.

Let me describe the image as best as I can.

There are three circular targets.

Left target: "14 Points" below. Two arrows: one arrow pointing to the center (A), and another arrow pointing to the middle ring (B). So hits: A and B.

Middle target: "16 Points" below. Two arrows: one arrow pointing to the center (A), and another arrow pointing to... it looks like it's pointing to the middle ring, but let's see the angle. The arrow on the right is positioned such that it might be in the outer ring? I'm not sure.

Perhaps I need to see the rings.

The circles: there are three concentric circles. Innermost is small, middle is medium, outer is large.

For middle target "16 Points": the left arrow is clearly in the innermost circle (A). The right arrow— the arrow is pointing towards the middle of the target, but from the position, it seems to be in the middle ring (B)? But if it's B, then P_A + P_B should be 16, but for first it's 14, so P_A + P_B can't be both 14 and 16.

Unless the arrows are in different areas for each attempt.

For the second target, the right arrow might be in the outer ring C.

Let me look at the arrow positions.

In the left target (14 points): the two arrows are at about 10 o'clock and 2 o'clock positions. 10 o'clock is in A, 2 o'clock is in B.

In the middle target (16 points): arrows at about 10 o'clock and 3 o'clock. 10 o'clock is in A, 3 o'clock is in the outer ring? At 3 o'clock, if the outer ring is large, it might be in C.

Assume the rings are equal in area or something, but typically, innermost has smaller radius.

But from the arrows, in middle target, the 3 o'clock arrow: if the target is divided, the outer ring might start from, say, halfway.

But visually, in the image, for the middle target, the arrow at 3 o'clock seems to be in the middle ring or outer? I think it's in the outer ring because for 16 points, it might be different.

Similarly, for the third target, arrows at about 11 o'clock and 4 o'clock, 11 o'clock in A, 4 o'clock in C.

Let's confirm with the third one.

Third target: "???" and arrows: one at top-left, in A, and one at bottom-right, in C.

So for first attempt: hits in A and B, points 14

Second attempt: hits in A and C? Or A and B?

I think I need to resolve the second attempt.

Perhaps from the points, since 14 and 16 are different, the hits must be in different combinations.

Let me denote:

For first attempt: one hit in A, one in B, so P_A + P_B = 14

For second attempt: from the image, one hit in A, and the other hit— let's say in C, because if it were in B, P_A + P_B =14, but it's 16, so it must be in C, so P_A + P_C = 16

Similarly, for third attempt: arrows show one in A and one in C, so P_A + P_C = ?

But for second attempt, if it's P_A + P_C =16, and for third, it would be the same, but we need to find the points for third.

But the points might be different if the areas are hit differently, but in this case, both second and third have A and C, so points should be same, 16, but that can't be because the question is to find third attempt points, and it might be different.

For third attempt, it's also one in A and one in C, so if P_A + P_C is constant, it should be 16, but let's see.

But we have P_A + P_B =14 from first.

P_A + P_C =16 from second.

Then for third, P_A + P_C, so it should be 16, but is that the case?

Perhaps for second attempt, the hit is not in C.

Another idea: maybe the points depend on where the dart lands, but for the same areas, points are fixed.

But in second attempt, if one in A and one in B, points should be same as first, but 16>14, so it must be that the second dart is in a higher scoring area or something.

Perhaps for second attempt, both darts are in A or something, but the image shows two arrows, one in A and one elsewhere.

Let's look at the arrow positions more carefully.

I am considering the angles or the rings.

Perhaps the areas are not the rings but the circles, and points are for the circle hit, but darts can hit the circles or rings.

Typically in darts, there are sections, but here it's concentric circles, so areas are rings.

Let me define the areas:

• Area A: innermost circle, radius smallest

• Area B: middle ring, between A and some radius

• Area C: outer ring, from B to edge

Points: P_A, P_B, P_C

From first attempt: two darts, one in A, one in B, sum 14

From second attempt: two darts, one in A, and the other— in the image, for second target, the right arrow is positioned such that it is in the outer ring C, I think, because if it were in B, points would be same as first.

Similarly, for third target, one in A, one in C.

So let's assume:

First attempt: hit A and B, P_A + P_B = 14

Second attempt: hit A and C, P_A + P_C = 16

Then for third attempt: hit A and C, so P_A + P_C = 16

But the question is to find how many points for third attempt, which would be 16.

But is that it? It seems straightforward, but let's check if it makes sense.

We have P_A + P_B = 14

P_A + P_C = 16

Then P_C - P_B = 2, so outer ring is 2 points more than middle ring? That might be unusual, but possible.

Then for third attempt, A and C, 16 points.

But the problem is to find the points, and it might be that.

But let's see the third attempt image: it shows one arrow in A and one in C, so yes.

Perhaps for second attempt, it's not A and C.

Another thought: in the second target, the arrow might be in B, but the points are different because of the way it's hit or something, but that doesn't make sense.

Perhaps the "16 Points" is for the attempt, and the arrows show which areas, but for second attempt, both darts are in A? But the image shows two arrows, one in A and one that could be in B or C.

Let's count the arrows positions.

In the first target: arrow at approximately 10 degrees and 330 degrees or something, but let's say left and right.

Innermost circle is small, so arrow at 10 o'clock is in A.

Arrow at 2 o'clock: if the middle ring is from, say, 1/3 radius to 2/3, and outer from 2/3 to 1, but visually, at 2 o'clock, it might be in B.

Similarly for second target: arrow at 10 o'clock in A, arrow at 3 o'clock, which is on the right, horizontal, and from the image, it looks like it's in the outer ring because the middle ring might not extend to the edge at that point.

I think it's ambiguous, but from the points, since 16>14, and first has A and B, second must have at least one in A and one in a higher scoring area, but A is highest, so if both in A, points would be 2*P_A, which could be more, but the image shows two separate arrows, one in A and one not in A, I think.

In the second target, the second arrow is not in the center; it's on the edge.

Similarly, in the first target, the second arrow is not in center.

So for both, one in A and one not in A.

If the second dart is in C, P_A + P_C =16 > P_A + P_B =14, so P_C > P_B, which is possible if outer ring has higher points, but that's counterintuitive; usually, innermost has highest points.

In standard darts, the bullseye is highest, so A should have highest points, then B, then C lowest.

But here, if P_A + P_C =16 and P_A + P_B =14, then P_C =16 - P_A, P_B =14 - P_A, so P_C - P_B = (16 - P_A) - (14 - P_A) = 2, so P_C = P_B + 2, so outer ring has more points than middle ring? That seems odd.

Perhaps the areas are different.

Another idea: perhaps the points are not for the area, but for the specific spot or something, but that seems unlikely.

Maybe the "14 Points" and "16 Points" are for the attempt, and the arrows indicate which areas were hit, but for the same areas, points should be same.

Unless the points are different for different attempts, but that doesn't make sense.

Perhaps I misidentified the areas for the second attempt.

Let's look at the third target to confirm.

Third target: arrows at, say, 11 o'clock and 4 o'clock. 11 o'clock is in A, 4 o'clock is in C, clearly outer ring.

For second target, the right arrow at 3 o'clock: if the target has the outer ring, it might be in C.

But let's assume that.

So P_A + P_B = 14 (1)

P_A + P_C = 16 (2)

Subtract (1) from (2): (P_A + P_C) - (P_A + P_B) = 16 - 14 => P_C - P_B = 2

So P_C = P_B + 2

For third attempt, hit A and C, so points = P_A + P_C

From (2), P_A + P_C = 16, so it should be 16.

But the problem is to find the points for the third attempt, which is also A and C, so 16.

But that seems too straightforward, and why the "???" if it's the same as second.

Perhaps for the third attempt, it's different, but the image shows A and C.

Another thought: in the second attempt, the points are 16 for A and C, but for third, it might be the same, so 16.

But let's see if we can find the individual points.

From (1) and (2), we have two equations, three variables, so we can't find exact points, but for third attempt, we don't need the individual points, just the sum for A and C, which is 16.

Similarly, if third attempt is A and C, it should be 16.

But is there a trick?

Perhaps for the second attempt, the hit is not in C.

Let's double-check the image description.

The image shows: three targets.

Left: "14 Points", two arrows: one in center A, one in middle ring B.

Middle: "16 Points", two arrows: one in center A, and the other arrow— this arrow is on the right, and it looks like it is in the outer ring C, because it's farther out.

Similarly, right: "???", two arrows: one in A, one in C.

So yes.

Perhaps the points are awarded based on the ring, but with double points or something, but no.

Another idea: perhaps "points" are for the area, but when you hit, you get the points of that area, and for the attempt, it's the sum.

So for first attempt, areas hit: A and B, points P_A + P_B =14

Second attempt, areas hit: A and C, points P_A + P_C =16

Third attempt, areas hit: A and C, points P_A + P_C =16

So third attempt should be 16 points.

But the problem is from a reasoning perspective, and it might be that simple.

But let's see the title or context. The user said "If you hit the target board, you score points. The number of points depends on which one of the three areas you hit." So areas are fixed points.

So for same areas, points should be same.

Therefore, for third attempt, since it's A and C, and from second, A and C is 16, so 16.

But why is the second 16 and first 14? Because different areas.

For third, it's same as second, so 16.

Perhaps for the third attempt, we need to find it, but it's given.

But the question is to find how many points for the third attempt.

So 16.

But let's see if there is another way.

Perhaps the darts can hit the same area, but in this case, for all attempts, the arrows are in different areas.

First: A and B

Second: A and C

Third: A and C

So no issue.

Maybe for second attempt, both darts are in A, but the image shows two arrows, one in A and one not, so not both in A.

Similarly for others.

So I think it's consistent.

Therefore, for the third attempt, she scores 16 points.

But the answer should be a number, and for the box.

But let's confirm with the points difference.

From P_A + P_B =14, P_A + P_C =16, so P_C - P_B =2.

If P_A is, say, 10, then P_B=4, P_C=6, so C has 6, B has 4, A has 10, so outer ring has higher points than middle? That is unusual, but possible if the points are assigned that way.

Perhaps the areas are not what I think.

Another possibility: maybe the three areas are not concentric rings, but different sections, but the image shows concentric circles.

The text says "three areas", and image has three rings.

Perhaps the points are for the circle, not the ring, but there are three circles, so two rings? No.

Typically, with three concentric circles, there are three regions: innermost disk, middle annulus, outer annulus.

So three areas.

I think my reasoning is correct.

So for third attempt, points are 16.

But the user said "Diana throws two darts, three times" and first 14, second 16, third to find.

And based on above, third should be 16.

But let's see the third image: it has one arrow in A and one in C, same as second.

So yes.

Perhaps for the second attempt, the arrow is in B, but the points are 16 because of a different reason, but that doesn't make sense.

I think I should go with 16.

So the answer should be 16.

But the problem is to put in box.

So for the third attempt, she scores 16 points.