Q.

A box contains 15 cards numbered 1 to 15. Five cards are drawn at random one after the other with replacement. The numbers obtained from the cards drawn are noted. The probability that

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a

the smallest number is 9 is 161215

b

the largest number is at most 7 is 7155

c

the largest number is 7 is 7565153

d

the smallest number is at least 9 is 7155

answer is A, B, C.

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Detailed Solution

a) Every number should be less than or equal to 7 and so  7155
b) Every number should be less than or equal to 7 but all the numbers should not be less than 7 so that we get at least one 7 hence 71556155similar method for c & d 

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