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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? - Mathematics

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प्रश्न

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?

योग
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उत्तर

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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