Question

Please solve this question
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Answer 1

P (A) = 0.45

Explanation:

The addition rule of probability states that:

`P(A\cup B)=P(A)+P(B)-P(A\cap B)`

Given:

`P(A\cup B) = 0.7\\P(A\cap B) = 0.1\\P(B) = 0.35`

Compute the value of P (A) as follows:

`P(A\cup B)=P(A)+P(B)-P(A\cap B)\\P(A)=P(A\cup B) + P(A\cap B) - P(B)\\= 0.7 +0.1-0.35\\=0.45`

Thus, the probability of A is, P (A) = 0.45.