There are 80% chance that a problem will be solved by a statistics student and 60% chance that the same problem will be solved by a mathematics student . The probability that at least the problem will be solved is ans. 0.92 0.48 none 0.77
Question
There are 80% chance that a problem will be solved by a statistics student and 60% chance that the same problem will be solved by a mathematics student . The probability that at least the problem will be solved is ans. 0.92
0.48
none
0.77
Solution
The probability that at least one student will solve the problem can be found by first finding the probability that neither student solves the problem and then subtracting that from 1.
The probability that the statistics student does not solve the problem is 1 - 0.80 = 0.20 (or 20%).
The probability that the mathematics student does not solve the problem is 1 - 0.60 = 0.40 (or 40%).
The probability that neither student solves the problem is the product of their individual probabilities of not solving the problem, which is 0.20 * 0.40 = 0.08 (or 8%).
Therefore, the probability that at least one student solves the problem is 1 - 0.08 = 0.92 (or 92%).
So, the correct answer is 0.92.
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