One bag contains 2 yellow and 3 red balls , another 3 Yellow is and 4 red balls,one ball is drawn from each bag.what is the probability that both balls are yellow

Answer 1

To find the probability that both balls drawn are yellow, we need to consider the probabilities of drawing a yellow ball from each bag.

First, let's calculate the probability of drawing a yellow ball from the first bag. There are 2 yellow balls in a total of 2 yellow + 3 red balls, so the probability of drawing a yellow ball from the first bag is 2/5.

Next, let's calculate the probability of drawing a yellow ball from the second bag. There are 3 yellow balls in a total of 3 yellow + 4 red balls, so the probability of drawing a yellow ball from the second bag is 3/7.

Since the balls are drawn from each bag independently, we can multiply the probabilities to find the overall probability that both balls drawn are yellow.

P(both yellow) = P(yellow from first bag) * P(yellow from second bag)
= (2/5) * (3/7)
= 6/35

Therefore, the probability that both balls drawn are yellow is 6/35.