A small pond contains five catfish and four bluegill. If five fish are caught at random, what is the probability that all of them are catfish?

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A small pond contains five catfish and four bluegill. If five fish are caught at random, what is the probability that all of them are catfish?

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Answer 1 · 2017-05-22T20:47:56

$15/1890$

Explanation:

$"there are a total of " 5+4=9" fish"$

$P("catfish")=5/9$

$"there are now a total of 8 fish, 4 are catfish"$

$P("second catfish")=4/8=1/2$

$"there are now 7 fish, 3 are catfish"$

$P("third catfish")=3/7$

$P("fourth catfish")=2/6=1/3$

$P("fifth catfish")=1/5$

$"to calculate the probability of catching 5 catfish"$
$"multiply the separate probabilities together "$

$rArrP("5 catfish")=5/9xx1/2xx3/7xx1/3xx1/5=15/1890$

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A small pond contains five catfish and four bluegill. If five fish are caught at random, what is the probability that all of them are catfish?

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