Use the values in the joint probability table to solve the equations given:

Question

Use the values in the joint probability table to solve the equations given:

a. P(A U F) round 2 decimal

b. P(E U B) round 2 decimal

c. P(B U C) round 2 decimal

d. P(E U F) round 3 decimal

E F

A .10 .03

B .04. .12

C .27. .06

D. .31 .07

Answer 1

For any 2 events, P(X∪Y) = P(X) + P(Y) - P(X∩Y)

P(A) = .10 + .03 = .13

P(F) = .03 + .12 + .06 + .07 = .38

P(A∩F) = .03

So,

P(A∪F) = .13 + .38 - .03 = .48

The other parts are done the same way.