Question

a fish is randomly drawn from a barrel with 10 green fish, 9 blue fish, and 16 red fish. event a: blue event b: red p(a or b) = ? hint: p(a or b) = p(a) + p(b) round your answer to the nearest hundredth.

Explanation:

Step1: Calculate total number of fish

Total fish = 10 + 9 + 16 = 35

Step2: Find P(A) (probability of blue)

$P(A) = \frac{\text{Number of blue fish}}{\text{Total fish}} = \frac{9}{35}$

Step3: Find P(B) (probability of red)

$P(B) = \frac{\text{Number of red fish}}{\text{Total fish}} = \frac{16}{35}$

Step4: Compute P(A or B)

$P(A \text{ or } B) = P(A) + P(B) = \frac{9}{35} + \frac{16}{35} = \frac{25}{35} \approx 0.71$

Answer:

0.71