Question

Suppose that P(E)=0.35, P(F)=0.67, P(E^c∪ F)=0.86. Find the following:

P(E∩ F)

Answer 1

To find P(E∩F), we can use the formula P(E∩F) = P(E) + P(F) - P(E^c∪F). Given the values of P(E), P(F), and P(E^c∪F), we can substitute these values into the formula to find P(E∩F). The result is 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^c∪F)

Given that P(E) = 0.35, P(F) = 0.67, and P(E^c∪F) = 0.86, we can substitute these values into the formula:

P(E∩F) = 0.35 + 0.67 - 0.86

Calculating this expression, we get: P(E∩F) = 0.16