. Sagar has an urn containing 15 balls. 3 of them
are green, 5 red and 7 white. He picks out one at
random, notes the colour and puts it back. Then
he again picks out one ball from the bag at
random. Draw a tree diagram and find the
probability of the following:
(a) both balls are white (b) only one is white
(c) both are not white.
100 Indies it was found that 162
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Answer:
A) No both are not white some are red and white
B) NO 7 are white ball
c)
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Probability of both the balls that are drawn being white is 1/25. Probability of only one of the drawn balls being white is 8/25. Probability that both the balls drawn are not white is 16/25.
- Pobability of a ball drawn being white (Pw) is 1/5 , being not (Pw') is 4/5.
- Probability of both being white is Pw.Pw = 1/25
- Probability of exactly one being white is 2C1.Pw.Pw' = 8/25
- Probability of both being not white is Pw'.Pw' = 16/25
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