Question

Let p(a) = 0.60, p(b) = 0.25, and p(a ∩ b) = 0.15. What is the probability of the union of events a and b?

1) 0.10
2) 0.15
3) 0.25
4) 0.35

Answer 1

The probability of the union of events a and b is 0.70. None of the given options is answer.

Step-by-step explanation:

We can use the following formula to calculate the probability of the union of two events:

P(a ∪ b) = P(a) + P(b) - P(a ∩ b)

where:

P(a ∪ b) is the probability of event a OR event b occurring

P(a) is the probability of event a occurring

P(b) is the probability of event b occurring

P(a ∩ b) is the probability of both event a AND event b occurring

Given that:

P(a) = 0.60

P(b) = 0.25

P(a ∩ b) = 0.15

Substituting these values into the formula, we get:

P(a ∪ b) = 0.60 + 0.25 - 0.15

= 0.70

Therefore, the probability of the union of events a and b is 0.70. None of the given options is answer.