Question

Suppose a sport fisher has a 35% chance of catching a fish that he can keep each time he goes to a spot. What is the probability that he catches a fish the first 4 times he visits the spot but on the fifth visit he does not?

the key is : 31.213/3.200.000

Answer 1

well the probability that he catches a fish at any time is 35/100, or 0.35.

The probability that he will catch a first the first four times in a row is:

0.35 x 0.35 x 0.35 x 0.35

And then I don't remember how to tack on the probability of him not catching any on the last one...

Answer 2

not quite

Answer 3

\[.35^4\times .65\]