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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?

1.(i) A box contains \small 10 red marbles, \small 20  blue marbles and \small 30 green marbles. \small 5 marbles are drawn from the box, what is the probability that  (i) all will be blue?  

Answers (1)

best_answer

Given, 

No. of red marbles = 10

No. of blue marbles = 20

No. of green marbles = 30

Total number of marbles = 10 + 20 + 30 = 60

Number of ways of drawing 5 marbles from 60 marbles = ^{60}\textrm{C}_{5}

(i) .

Number of ways of drawing 5 blue marbles from 20 blue marbles = ^{20}\textrm{C}_{5}

\therefore Probability of drawing all blue marbles = \frac{^{20}\textrm{C}_{5}}{^{60}\textrm{C}_{5}}

Posted by

HARSH KANKARIA

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