Questions
A dice is thrown six times, it being known that each time a different digit is shown. The probability that a sum of 12 will be obtained in the first three throws is
detailed solution
Correct option is C
Since it is known that each time a different digit appears, total number of cases is 6!The sum in the first three throws is 12 if we get (1, 5, 6), (2,4,6) or (3 , 4, 5) in any order.So, number of cases for first three throws = 3 x 3!The remaining three throws have 3! ways. ∴ Number of favourable cases = 3 x 3! x 3!∴ Required probability=3×3!×3!6!=320Talk to our academic expert!
Similar Questions
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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