If the probabilities of A, B, and A or B are 0.4, 0.26, and 0.436. Then the probability of A and B will be 0.224.
<h3>What is the addition rule of size for two subsets?</h3>
For two subsets A and B of the universal set U, we have:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Then the expression can be written as
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)
The probabilities are given below.
P(A) = 0.4
P(B)=0.26
P(A ∪ B) = 0.436
Then the probability of A and B will be
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)
P(A ∩ B) = 0.4 + 0.26 - 0.436
P(A ∩ B) = 0.66 - 0.436
P(A ∩ B) = 0.224
Learn more about the addition rule for two subsets here:
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