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?
1 Answer
May 22, 2017
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#
