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 selected fish weighs more than 12 ounces, we first need to determine how many fish weigh more than 12 ounces based on the histogram data provided.

The histogram shows the following distribution of fish by weight:

- From 0 to 6 ounces: 6 fish
- From 6 to 12 ounces: 9 fish
- From 12 to 18 ounces: 5 fish
- From 18 to 24 ounces: 3 fish
- From 24 to 30 ounces: 2 fish

Now we count the fish that weigh more than 12 ounces:

- From 12 to 18 ounces: 5 fish
- From 18 to 24 ounces: 3 fish
- From 24 to 30 ounces: 2 fish

Adding these together:

5 (from 12 to 18) + 3 (from 18 to 24) + 2 (from 24 to 30) = 10 fish

Now, we know the total number of fish in the tank is 25.

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

\[
P(\text{more than 12 ounces}) = \frac{\text{Number of fish weighing more than 12 ounces}}{\text{Total number of fish}} = \frac{10}{25}
\]

Now, simplify the fraction:

\[
\frac{10}{25} = \frac{2}{5}
\]

Thus, the probability that a fish weighs more than 12 ounces is \(\frac{2}{5}\).

The correct answer is **C. \(\frac{2}{5}\)**.