Ashmit can solve 80% of the problem given in a book and Amisha can sol...
Probability that both Ashmit and Amisha can solve
=0.8×0.7=0.56
Probability that Ashmit can solve but Amisha not
=0.8×0.3=0.24
Probability that Amisha can solve but Ashmit not
=0.2×0.7=0.14
so atleast one of them solve the problem
= 0.56+0.24+0.14
=0.94
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Ashmit can solve 80% of the problem given in a book and Amisha can sol...
Probability that at least one of them will solve a problem:
To find the probability that at least one of them will solve a problem, we can use the concept of finding the complement probability. The complement of the event "at least one of them will solve a problem" is the event "none of them will solve a problem".
Probability that Ashmit will not solve a problem:
Since Ashmit can solve 80% of the problems, the probability that he will not solve a problem is 1 - 0.8 = 0.2.
Probability that Amisha will not solve a problem:
Similarly, since Amisha can solve 70% of the problems, the probability that she will not solve a problem is 1 - 0.7 = 0.3.
Probability that both Ashmit and Amisha will not solve a problem:
To find the probability that both Ashmit and Amisha will not solve a problem, we can multiply their individual probabilities of not solving a problem. Therefore, the probability that both of them will not solve a problem is 0.2 * 0.3 = 0.06.
Probability that at least one of them will solve a problem:
The probability that at least one of them will solve a problem is equal to 1 minus the probability that both of them will not solve a problem. Therefore, the probability that at least one of them will solve a problem is 1 - 0.06 = 0.94.
So, the correct answer is option 'C' - 0.94.