Question

Assume that each bag contains 4 balls. Bag a contains 2 red and 2 white, while bag b contains 1 red, 1 white, and 2 blue. You randomly select one ball from bag a, note the color, and place the ball in bag b. You then select a ball from bag b at random and make note of its color.

What is the probability that both balls are red given that the first ball you drew was red?

Answer 1

2/5

Answer 2

How?

Answer 3

Since you placed the red ball into bag b, bag b now has 2 red balls instead of 1. There are a total of 5 balls in bag b now, and two of them are red. So the probability of drawing a red ball from bag b is 2/5

Answer 4

How would I find the probability that both balls are red, without being a given condition?

Answer 5

Got it! .5 * (2/5)!

Answer 6

Happy to help :)