SOLUTION: The probability that A can solve a problem is 4/5, that B can solve it is 2/3 and that C can solve it is 3/7. If all of them try independently, find the probability that the proble
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Question 551072: The probability that A can solve a problem is 4/5, that B can solve it is 2/3 and that C can solve it is 3/7. If all of them try independently, find the probability that the problem will be solved.
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i believe the shortcut would be
1 - P(a fails to solve)P(b fails to solve)P(c fails to solve) = 1 - (4/5)(2/3)(3/7) = 0.96
however what i want to ask is the LONG version on how i can arrive at 0.96.
thanks!
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
probability that problem will not be solved by anyone = (1-4/5)(1-2/3)(1-3/7)
= 1/5 * 1/3 * 4/7 = 4/105
probability that problem will be solved = 1 - 4/105 = 101/105
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