If the probability that next saturday will rain is 0.4 and the probability that next sunday will rain is 0.4, what is the probability that during the weekend will rain?
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Answer:
0.46
Step-by-step explanation:
Let A denotes the event that it will rain today and B denotes the event that it will rain tomorrow.
P(A) = 0.4
P(B) = 0.3 and P(A•B) = 0.12
required probability = P(AUB) - P(A•B)
=P(A)+ P(B) -2.P(A•B)
=0.4 +0.3 - 2x(0.12) = 0.7 - 0.24 = 0.46
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