Given p(a)=0.40, p(b)=0.50. if a and b are independent, what is the value of p(a intersection b)?

 The required value is P(A intersection B) = 0.20.

Step-by-step explanation:  Given that for two independent events A and B,

P(A) = 0.40  and  P(B) = 0.50.

We are to find the value of

For any two independent events, the probability of their intersection is equal to the product of their probabilities.

Since A and B are independent events, so we have

Thus, the required probability of the intersection of A and B is 0.20.

That is, P(A intersection B) = 0.20.

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step-by-step explanation:

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x = 3 ± √(5+y)