Question:
(9) A bag contains 8 red ,3 white and 9 blue balls. Three balls are drawn at
random from the bag. Determine the probability that none of the balls
drawn is white .
Answer:
Given, a bag contains 8 red , 3 white and 9 blue balls.
Total balls = 20
3 balls are selected.
Now P(3 balls are not white) = 17C3 / 20C3
= {(17*16*15)/(3*2*1)}/{(20*19*18)/(3*2*1)}
= (17*16*15)/{(20*19*18)
= (17*16*3)/(4*19*18)
= (17*4*3)/(19*18)
= (17*4)/(19*6)
= (17*2)/(19*3)
= 34/57
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