1. ## Probability Question

While on his boat, a man sees a fish in the water and wants to catch it. He has two nets that he uses simultaneously.

One is 98% effective.
The other is 99.3% effective.

What is the probability that the fish will escape?

What is the probability that the fish will escape 3 out of 6 attempts?

2. Originally Posted by RogerMoore
While on his boat, a man sees a fish in the water and wants to catch it. He has two nets that he uses simultaneously.

One is 98% effective.
The other is 99.3% effective.

What is the probability that the fish will escape?

What is the probability that the fish will escape 3 out of 6 attempts?
(a) The fish escapes if neither net catches it: p = (0.02)(0.007) = ...... (and there's a pun in here somewhere ......).

(b) "escape 3 out of 6 attempts" doesn't make much sense unless the fish is thrown back into the water after a capture ....... So that's what I'll assume.

Let X be the random variable number of escapes.

X ~ Binomial(n = 6, p = ......).

Calculate Pr(X = 3).