Question

If P(A) = 0.2 ,P(B) = 0.7 and P(AUB) = 0.1 then P(A∩ B) =

Answer 1

Step-by-step explanation:

p(A) = 0.2

p(B) = 0.7

p(A U B) = 0.1

p(A n B) = ?

p(A U B) = p(A) + p(B) - p(A n B)

0.1 = 0.2 + 0.7 - x

therefore, x = 0.8. (here x = p (A n B)

Answer 2

Answer:

P(A∩ B) = 0.8

Step-by-step explanation:

By addition rules in probability ans statistics we know that:-

P(AUB) = P(A) + P(B) - P(A∩ B)

We may write this formula like this-

P(A∩ B) = P(A) + P(B) - P(AUB)

After putting the value of P(A), P(B) and P(AUB)

P(A∩ B) = 0.2 + 0.7 - 0.1 = 0.9 - 0.1 = 0.8

Hence the answer is - P(A∩ B) = 0.8