Question

Given: n(a) = 15, n(a ∩ b) = 5, and n(a ∩ b) = 20, find n(b).

Answer 1

The formula for the probability of the union of two events: n(a ∪ b) = n(a) + n(b) - n(a ∩ b). Substitute the given values into the formula and we get n(b)=10.

Step-by-step explanation:

To find n(b), we can use the formula for the probability of the union of two events:

n(a ∪ b) = n(a) + n(b) - n(a ∩ b)

Given that n(a) = 15, n(a ∩ b) = 5, and n(a ∪ b) = 20, we can substitute these values into the formula:

20 = 15 + n(b) - 5

Simplifying the equation, we find that n(b) = 10.