For this question there is a picture of different size fish with stripes. There are a total of 7 fat fish. 3 of them have broad stripes and the remaining 4 have thin stripes. There is also a total of 21 small fish. 9 of them have broad stripes and the remaining 12 have thin stripes. The first question asks if fat fish are more likey to have broad stripes thatn thin fish. My answer was no and it was correct. The second question asks what is the reason that fat fish are not more likely to have broad stripes than thin fish.

The answers are:
1) 3/7 fat fish have broad stripes.
2) 12/28 are broad striped and 16/28 are narrow striped.
3) 3/7 of the fat fish have broad stripes and 9/21 of the thin fish have broad stripes.
4) Some fish with broad stripes are thin and some are fat.

I think the answer is number three. Is this correct?

Correct!

That should be correct. Because then they both have the same ratio when reduced.

number 4 is wrong

No, the correct answer is actually option 4) Some fish with broad stripes are thin and some are fat.

To understand why this is the correct answer, let's break down the information given in the question:

- There are a total of 7 fat fish, with 3 of them having broad stripes and the remaining 4 having thin stripes.
- There are a total of 21 small fish, with 9 of them having broad stripes and the remaining 12 having thin stripes.

To determine if fat fish are more likely to have broad stripes than thin fish, we need to compare the proportion of fat fish with broad stripes to the proportion of thin fish with broad stripes.

- The proportion of fat fish with broad stripes is 3 out of 7 (3/7).
- The proportion of thin fish with broad stripes is 9 out of 21 (9/21).

Comparing these proportions, we can see that the fat fish do not have a higher proportion of broad stripes compared to the thin fish. In fact, the proportion of broad stripes among the thin fish (9/21) is higher than the proportion among the fat fish (3/7).

Therefore, the reason why fat fish are not more likely to have broad stripes than thin fish is that some fish with broad stripes are thin and some are fat.