One bag contains 7 red chips and 4 yellow chips. Another bag contains 5 red chips and 3 yellow chips. A chip is drawn from each bag. What is the probability that both chips are yellow? how do i do it step by step?
We have 11 chips in the first bag and 4 are yellow......so the probability of drawing a yellow chip = 4/11
And we have 8 chips in the next bag and 3 are yelllow......so the probability of drawing a yellow chip = 3/8
And the probability of drawing a yellow chip from the first bag and then a yellow chip from the second bag is given by multiplying the separate probabilities......so we have....
[4/ 11] * [3 / 8 ] = { swap denominators }
[4 / 8] * [ 3/ 11] =
[1 / 2 ] * [ 3 / 11] =
3 / 22 = about 13.64%