Question

stion 1:- If P(A) = 0.3, P(B) = 0.4 and P(AUB)=0.7 then
A and B are mutually exclusive
A and B are independent
Both (a) and (b)
none of these​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If P(A) = 0.3, P(B) = 0.4 and P(AUB)=0.7 then

• A and B are mutually exclusive

• A and B are independent

• Both (a) and (b)

• none of these

EVALUATION

Here it is given that

P(A) = 0.3, P(B) = 0.4 and P(AUB)=0.7

We know that

P(AUB) = P(A) + P(B) - P(A∩B)

⇒ 0.7 = 0.3 + 0.4 - P(A∩B)

⇒P(A∩B) = 0

Hence A and B are mutually exclusive

FINAL ANSWER

Hence the correct option is

A and B are mutually exclusive

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