Question 906010
box 1 contains 4 yellow and 2 green.


box 2 contains 5 green and 3 yellow


the probability of getting a yellow out of box 1 is 4/6 = 1/3.


the probability of getting a yellow out of box 2 is 3/8.


when you toss a coin, the probably of it coming up heads is 1/2 and the probability of it coming up tails is 1/2.


the probability of flipping a head and getting a yellow ball is therefore 1/2 * 1/3 = 1/6.


the probability of flipping a tail and getting a yellow ball is therefore 1/2 * 3/8 = 3/16.


since flipping a head or a tail are totally independent events, then the probability of flipping a head or a tail is equal to 1/2 + 1/2 = 1.


the probability of getting a yellow is  therefore the probability of flipping a head and getting a yellow or flipping a tail and getting a yellow.


those probabilities are 1/6 for the head and 3/16 for the tail.


the overall probability is therefore 1/6 + 3/16 = = 8/48 + 9/48 = 17/48.