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.

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

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answer