Asked by BETTY
THERE ARE 6 PEOPLE IN A GARDENING CLUB. Each gardener orders seeds from a list of 11 different types of available seeds. What is the probability that at least 2 gardeners order the same type of seeds?
Answers
Answered by
Reiny
the first gardener can pick from 11 different seeds, the second can pick from 11 different seeds, etc
(this allows the same seed being picked by more than one gardener)
= 11^6 ways = 1771561
number of ways where none are the same, (once picked, can't be picked again)
= 11x10x9x8x7x6 =332640
so the number where at least 2 are the same
= 1771561 - 332640 = 1438921
so prob(at least 2 the same) = 1438921/1771561 = .8122
check my arithmetic, it is often quite lousy
(this allows the same seed being picked by more than one gardener)
= 11^6 ways = 1771561
number of ways where none are the same, (once picked, can't be picked again)
= 11x10x9x8x7x6 =332640
so the number where at least 2 are the same
= 1771561 - 332640 = 1438921
so prob(at least 2 the same) = 1438921/1771561 = .8122
check my arithmetic, it is often quite lousy
Answered by
betty
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