SOLUTION: A bag contains 4 red marbles and 2 white marbles. A marble is selected, kept out of the bag, and then another marble is selected. What is P(red, then white)?

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Question 1116124: A bag contains 4 red marbles and 2 white marbles. A marble is selected, kept out of the bag, and then another marble is selected. What is P(red, then white)?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

A = event of selecting red on the first draw
B = event of selecting white on second draw, assuming event A happens first

P(A) = (number of red)/(number total)
P(A) = 4/6
P(A) = 2/3

P(B) = (number of white)/(total number left over)
P(B) = 2/5

P(red, then white) = P(A then B)
P(red, then white) = P(A)*P(B)
P(red, then white) = (2/3)*(2/5)
P(red, then white) = 4/15 (answer in fraction form)
P(red, then white) = 0.2667 (answer in decimal form which is approximate)