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Problem Solving Class : Part-19 (All Top...

Problem Solving Class : Part-19 (All Topics)

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The probalities of A, B, C solving a problem are ⅓, ¼ and .^(1)//_(6) respectively. If all the three try to solve the problem simultaneously, find the probability that exactly one of them will solve it.

A computer solved several problems in succession. The time it took the computer to solve each succession problem was the same number of times smaller than the time it took to solve the preceding problem. How many problems were suggested to the computer if it spent 63.5 min to solve all the problems except for the first 127 min to solve all the problems except for the last one, and 31.5 min to solve all the problems except for the first two?

A problem is given to three students A, B and C whose probabilities of solving the problem are (1)/(2),(3)/(4) and (1)/(4) respectively. What is the probability that the problem will be solved if they all slove the problem independently?