SOLUTION: The probability that a fisherman catches a tuna in any one trip is 0.15 What is the probability, (3 decimals) that he catches a tuna on: At least one of three excursions? (The

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Question 369672: The probability that a fisherman catches a tuna in any one trip is 0.15
What is the probability, (3 decimals) that he catches a tuna on:
At least one of three excursions? (The answer is .386, but how?)




Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Look at all of the possible outcomes for 3 excursions- is catches, is doesn't catch.
There are possible outcomes.








Only one outcomes has him not catching at least one, DDD


P(DDD)+P(at least 1 C)=
P(at least 1 C)=
P(at least 1 C)=
P(at least 1 C)=

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Note: The probability of x successes in n trials is:
.
P = nCx* where p and q are the probabilities of success and failure respectively.
In this case p = .15 and q = .85
nCx =
P( at least one) = 1 - P(catching none) = 1 - (.85)^3 = 1 - .614 = .386
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