SOLUTION: a bag contain 4 balls , 5 black balls if one ball is drawn from each ball find the probability that (1)both are white(2)both are black(3) one in white and one in black

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Question 883834: a bag contain 4 balls , 5 black balls if one ball is drawn from each ball find the probability that (1)both are white(2)both are black(3) one in white and one in black
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4 white balls, 5 black balls, 9 balls total.
With replacement,
P%28W%2CW%29=%284%2F9%29%284%2F9%29=16%2F81
P%28B%2CB%29=%285%2F9%29%285%2F9%29=25%2F81
P%28B%2CW%29=1-P%28W%2CW%29-P%28B%2CB%29=81%2F81-16%2F81-25%2F81=40%2F81
.
.
.
Without replacement,
P%28W%2CW%29=%284%2F9%29%283%2F8%29=1%2F6
P%28B%2CB%29=%285%2F9%29%284%2F8%29=5%2F18
P%28B%2CW%29=1-1%2F6-5%2F18=18%2F18-3%2F18-5%2F18=10%2F18=5%2F9