Assume that p(a) = 0.4 and p(b) = 0.7. making no further assumptions on a and b, show that p (ab) satisfies 0.1 ≤ p (ab) ≤ 0.4.

The required prove is shown below:

Step-by-step explanation:

Consider the provided information

P(A) = 0.4 and P(B) = 0.7

We know that:

The maximum value of is less than or equal to 1.

......(1)

Also

Now substitute the respective values.

.....(2)

Now from equation 1 and 2 we get.

Hence, proved