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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 all will be blue?
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Solution
Ways to pick 5 marbles from 60 marbles = 60C5
∴ n(S) = 60C5
There are 20 blue marbles. Ways to pick 5 marbles from these = 20C5
Probability of picking 5 blue marbles = `(""^20C_5)/(""^60C_5)`
= `(20 xx 19 xx 18 xx 17 xx 16)/(60 xx 59 xx 58 xx 57 xx 56)`
= `34/11977`
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