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
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.
To find the probability that both balls drawn are yellow, we can multiply the probability of drawing a yellow ball from the first bag by the probability of drawing a yellow ball from the second bag.
The probability of drawing a yellow ball from the first bag is 2 yellow balls out of a total of 2 yellow + 3 red balls = 2/5.
The probability of drawing a yellow ball from the second bag is 3 yellow balls out of a total of 3 yellow + 4 red balls = 3/7.
Therefore, the probability that both balls drawn are yellow is (2/5) * (3/7) = 6/35.
So, the probability that both balls are yellow is 6/35.