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Question
A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that atleast one will be green?
Solution
P(at least one marbles is green)
= 1 - P .......(all five marbles are blue or red)
= `1 - (""^30C_5)/(""^60C_5)`
= `(30 xx 29 xx 28 xx 27 xx 26)/(60 xx 59 xx 58 xx 57 xx 56)`
= `1 - 117/4484`
= `4367/4484`
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