Bag A contains four yellow marbles and one green marble. Bag B contains two yellow marbles and five green marbles. If a marble is randomly selected from Bag A and placed in Bag B, and a marble is then randomly selected from Bag B, what is the probability that the marble slected from Bag B will be yellow?
can someone please check my work? it's been a while since i've gone over this, and i'd like to make sure:
probability of yellow in bag A: 4/5
probability of yellow in bag B, if the marble drawn from bag A is yellow: (3/8)(4/5)=3/10
probability of yellow in bag B, if the marble drawn from A is green: 2/8
adding both probabilities would equal 11/20, the probability of drawing out yellow from B.
can someone please check my work? it's been a while since i've gone over this, and i'd like to make sure:
probability of yellow in bag A: 4/5
probability of yellow in bag B, if the marble drawn from bag A is yellow: (3/8)(4/5)=3/10
probability of yellow in bag B, if the marble drawn from A is green: 2/8
adding both probabilities would equal 11/20, the probability of drawing out yellow from B.