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?

Answer 1

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

Answer 2

A fair coin is tossed 4 times. Given that each of the first 3 tosses land tails up, what is the probability that all 4 tosses land tails up?

Answer 3

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Answer 4

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