1: A and B can solve 60% and 80% of the problem in a book respectively. What is
probability that either A or B can solve a problem chosen a random.
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Step-by-step explanation:
Let E and F be the events defined as follows :
E=A solves the problem
F=B solves the problem
Clearly, E and F are independent events such that
P [E] = 60/100 = 6/10
And pf = 80/100 = 8/10
Now required probability
P ( E U F )
1 - p (E) p (f)
1 - (1 - 6/ 10)(1 - 8/ 10) = 1 - 1/10x3/10
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