Question

Two bags each contain 2 black balls, 1 white ball, and 1 red ball. One ball is to be selected from each bag. What is the probability of selecting the white ball from the first bag or the red ball from the second bag

Answer 1

0.4 chance

Explanation:

Answer 2

7/16

Explanation:

1st bag

2 black balls, 1 white ball, and 1 red ball.

P(white) = white/total = 1/4

2nd bag

2 black balls, 1 white ball, and 1 red ball.

P(red) = 1/4

The events are independent, so multiply the probabilities

P(white 1st bag, red 2nd bag) = 1/4*1/4 =1/16

To find the probability of white or red we cannot double count both

P(white or red) = P(white) + P(red) - P(white , red)

=1/4 + 1/4 - 1/16

= 4/16 + 4/16 - 1/16

=7/16