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31. Probability
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Q15 of 249 Page 32

Three cards are drawn with replacement from a well shuffled pack of cards. Find the probability that the cards drawn are king, queen and jack.

In a pack of 52 cards, there are 4 king,4 queen and 4 jack


Let A be drawn card is a king



Let B be drawn card is a queen



Let C be drawn card is a jack



P(cards drawn are king, queen, jack )=


=P(A)P(B)P(C)+P(A)P(C)P(B)+P(B)P(A)P(C)+P(B)P(C)P(A)+P(C)P(A)P(B)+P(C)P(B)P(A)


=6*P(A)P(B)P(C)


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13

An unbiased die is tossed twice. Find the probability of getting 4,5, or 6 on the first toss and 1,2,3 or 4 on the second toss.

14

A bag contains 3 red and 2 black balls. One ball Is drawn from it at random. Its colour is noted and then it is put back in the bag. A second draw is made and the same procedure is repeated. Find the probability of drawing (i) tow red balls, (ii) two black balls, (iii) first red and second black ball.

16

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17

The probability that A hits a target is 1/3 and the probability that B hits it, is 2/5. What is the probability that the target will be hit, if each one of A and B shoots at the target?

Questions · 249
31. Probability
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