Question

Suppose that ​P(E)= 0.59 and ​P(F|E)= 0.45. What is ​P(E and F)?

Answer 1

So, P(E and F) is equal to 0.2655.

Step-by-step explanation:

To find

P(E and F), you can use the conditional probability formula:

P(E and F)=P(F E)⋅P(E)

You are given:

P(E)=0.59 and P(F∣E)=0.45

Now, plug these values into the formula:

P(E and F)=0.45⋅0.59

Now, calculate the product:

P(E and F)=0.2655

So, P(E and F) is equal to 0.2655.