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Q.

A and B toss a fair coin each simultaneously 50 times. The probability that both of them will not get tail at the same toss is

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a

(3/4)50

b

(2/7)50

c

(1/8)50

d

(7/8)50

answer is A.

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Detailed Solution

For each toss, there are four choices:(i) A gets head, B gets head(ii) A gets tail, B gets head(iii) A gets head, B gets rail(iv) A gets tail, B gets tailThus, exhaustive number of ways is 450. Out of the four choices listed above, (iv) is not favorable to the required event in a toss. Therefore, favorable number of cases is 350. Hence, the required probability is ((3/4)50.
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A and B toss a fair coin each simultaneously 50 times. The probability that both of them will not get tail at the same toss is