Question

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?

Answer 1

`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`