Question

Given: P(E) = 0.38, P(F) = 0.51, and P(E ∪ F) = 0.73, find P(E ∩ F).

Answer 1

To find P(E ∩ F), we can use the formula: P(E ∩ F) = P(E) + P(F) - P(E ∪ F). Substituting the given values, we find that P(E ∩ F) = 0.16.

Step-by-step explanation:

To find P(E ∩ F), we can use the formula:

P(E ∩ F) = P(E) + P(F) - P(E ∪ F)

Given:P(E) = 0.38
P(F) = 0.51
P(E ∪ F) = 0.73

Substituting the values into the formula:

P(E ∩ F) = 0.38 + 0.51 - 0.73
P(E ∩ F) = 0.89 - 0.73
P(E ∩ F) = 0.16