Question

Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.20. What is the probability of event A or event B?

1) 0.30
2) 0.50
3) 0.70
4) 0.80

Answer 1

The probability of event A or event B is 0.90.

Step-by-step explanation:

To find the probability of event A or event B, we can use the formula:

P(A OR B) = P(A) + P(B) - P(A AND B)

Given that P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.20, we can substitute these values into the formula:

P(A OR B) = 0.50 + 0.60 - 0.20

P(A OR B) = 1.10 - 0.20

P(A OR B) = 0.90

Therefore, the probability of event A or event B is 0.90.

Hence, there may be a mistake in the provided options.