Learn If Pa 038 Pb 083 And Pa B 024 Then Pa B
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If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.24; then p(a ∪ b) =
Solution:
Suppose we have two sets A and B.
Now, A U B consists of elements of both sets A and B, taken one at a time.
We have the following representations:
n(A U B) = Number of elements in A U B
n(A) = Number of elements in A
n(B) = Number of elements in B
n(A ∩ B) = Number of elements that are common to both A and B
Given, p(a) = 0.38
p(b) = 0.83
p(a∩b) = 0.24
We have to find p(a∪b)
P(a∩b) = P(a) + P(b) - P(a∪b)
0.24 = 0.38 + 0.83 - P(a∪b)
0.24 = 1.21 - P(a∪b)
P(a∪b) = 1.21 - 0.24
P(a∪b) = 0.97
Therefore, the value of p(a∪b) is 0.97.
If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.24; then p(a ∪ b) =
Summary:
If p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.24; then p(a ∪ b) = 0.97.
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