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Standard XII

Mathematics

Classical Definition of Probability

A box contain...

Question

A box contains 20 cards of these 10 have letter J printed on them and the remaining 10 have E printed on them. 3 cards are drawn from the box, the probability that we can write $J E E$ with these cards is

9 / 80

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1 / 8

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4 / 27

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15 / 38

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Solution

The correct option is D $15 / 38$
Total number of cards =20
Total ways to draw 3 cards $=^{20} C_{3}$
To write $J E E$ , first card should be drawn from 10 J printed cards and 2 cards are to be drawn from 10 E printed cards
So, number of favourable cases $=^{10} C_{1} \times^{10} C_{2}$
Required probability $= \frac{^{10} C_{1} \times^{10} C_{2}}{^{20} C_{3}}$

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A box contains 20 cards of these 10 have letter J printed on them and the remaining 10 have E printed on them. 3 cards are drawn from the box, the probability that we can write JEE with these cards is

The correct option is D 15/38Total number of cards =20Total ways to draw 3 cards =20C3To write JEE, first card should be drawn from 10 J printed cards and 2 cards are to be drawn from 10 E printed cardsSo, number of favourable cases =10C1×10C2Required probability =10C1×10C220C3

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