Question

If p(a) = 0.65, p(b) = 0.58, and p(a and b) = 0.76, then what is the value of p(a or b)?

1) 0.47
2) 0.76
3) 0.87
4) Cannot be determined

Answer 1

There seems to be a mistake with the given probabilities, as P(A and B) cannot exceed P(A) or P(B). Assuming a typo, the probability of P(A or B) can be calculated with the formula P(A) + P(B) - P(A and B). Correct values are needed for an accurate solution.

Step-by-step explanation:

To find the probability of P(A or B), we can use the formula P(A) + P(B) - P(A and B). Given P(A) = 0.65, P(B) = 0.58, and P(A and B) = 0.76, it seems there might be a mistake because P(A and B) cannot be greater than either P(A) or P(B). However, assuming there's a typo and P(A and B) <= 0.58, we would calculate P(A or B) as follows:

P(A or B) = P(A) + P(B) - P(A and B).

Substitute the provided probabilities into the formula:

P(A or B) = 0.65 + 0.58 - P(A and B).

Without the correct value of P(A and B), we cannot determine P(A or B). The correct values need to be provided to find the solution.