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Questions  

The probability that a random chosen three-digit number has exactly 3 factors is

a
2225
b
7900
c
1800
d
none of these

detailed solution

Correct option is B

A number has exactly 3 factors if the number is squares of a prime number. Squares of 11, 13, 17, 19, 23, 29, 31 are 3-digit numbers. Hence, the required probability is 7900

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A bag contains 10 different balls. Five balls are drawn simultaneously and then replaced and then seven balls are drawn. If the probability that exactly three balls are common to the two draws is p, then the value of 8p is ________.


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