Question:
A bag contains 5 white, 7 black, 8 red balls. If 4 balls are drawn one by one with replacement , what is the probability that only two are white.
Answer:
Total number of balls = 20. 4 balls are drawn from the bag one by one with replacement i.e.
After a ball is drawn, again that ball is put in the bag.
Now probability that only 2 balls are white = (5/20)*(5/20)*(15/20)*(15/20)
= (1/4)*(1/4)*(3/4)*(3/4)
= 9/256
So probability that only 2 balls are white = 9/256
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