Question

A fish tank at a hatchery contains 25 fish. The histogram below shows the number of fish organized by weight.

The histogram titled Fish in tank shows number of fish from 0 to 12 in increments of 2 and weight in ounces from 0 to 30 in increments of 6. A bar between 0 and 6 is at 6 fish, a bar between 6 and 12 is at 9 fish, a bar between 12 and 18 is at 5 fish, a bar between 18 and 24 is at 3 fish, a bar between 24 and 30 is at 2 fish.

One fish is taken from the tank at random. What is the probability the fish weighs more than 12 ounces?

A.
3
2

B.
2
3

C.
2
5

D.
3
5

Answer 1

To find the probability that a randomly chosen fish weighs more than 12 ounces, we first need to determine how many fish from the histogram weigh more than 12 ounces.

From the histogram:
- The number of fish that weigh between 0 and 6 ounces: 6 fish
- The number of fish that weigh between 6 and 12 ounces: 9 fish
- The number of fish that weigh between 12 and 18 ounces: 5 fish (these weigh more than 12 ounces)
- The number of fish that weigh between 18 and 24 ounces: 3 fish (these also weigh more than 12 ounces)
- The number of fish that weigh between 24 and 30 ounces: 2 fish (these also weigh more than 12 ounces)

Now, let's calculate the total number of fish that weigh more than 12 ounces:
- 5 (between 12 and 18 ounces) + 3 (between 18 and 24 ounces) + 2 (between 24 and 30 ounces) = 10 fish

The total number of fish in the tank is 25.

Next, we calculate the probability that a fish weighs more than 12 ounces:

\[
\text{Probability} = \frac{\text{Number of fish weighing more than 12 ounces}}{\text{Total number of fish}} = \frac{10}{25} = \frac{2}{5}
\]

So the correct answer is:

**C. \( \frac{2}{5} \)**