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A bag contains 5 red and 4 green ball and another bag contains 3 red and 7 black ball. If a ball is drawn from each bag. Find the probability that both are of different colours.
1. 47/90
2. 5/6
3. 7/18
4. 2/15
5. None of these
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Last update on February 23, 6:43 am by Rahil Choudhary.
Rahil Choudhary
#1
The no. of ways in which two different coloured * can be drawn are G + R, R + B, G + B.
∴ P (two different *) = P(1st red and 2nd black) + P (1st green and 2nd red) + P (1st green and 2nd Black)
= [(5/9) x (7/10)] + [(4/9) x (3/10)] + [(4/9) x (7/10)]
= 5/6