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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(i) all will be blue? (ii) atleast one will be green?

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Total number of marbles = 10 + 20 + 30 = 60 Number of ways of drawing 5 marbles from 60 marbles = (i) All the drawn marbles will be blue if we draw 5 marbles out of 20 blue marbles. 5 blue marbles can be drawn from 20 blue marbles in ways. ∴Probability that all marbles will be blue = (ii) Number...
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Total number of marbles = 10 + 20 + 30 = 60

Number of ways of drawing 5 marbles from 60 marbles =

(i) All the drawn marbles will be blue if we draw 5 marbles out of 20 blue marbles.

5 blue marbles can be drawn from 20 blue marbles in ways.

∴Probability that all marbles will be blue =

(ii) Number of ways in which the drawn marble is not green =

∴Probability that no marble is green =

∴Probability that at least one marble is green =

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