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India needs to score 9 runs in last 2 balls to win the match. What is the probability that India wins the match?

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With Dhoni and Yuvraj at the crease Cricket Team of India needs to score 9 runs in last 2 balls to win the match. What is the probability that India wins the match?

Assumptions:
- There were no wide balls or no balls bowled in these 2 balls.
- No Wicket has fallen in these 2 balls
- No Overthrows or extra runs were scored in these 2 balls
- In case if run(s)are scored on any of these 2 balls it can only be one of these values: 1, 2, 3, 4 & 6. This also implies that it’s quite possible that zero runs are scored on a particular ball

posted Jan 27, 2017 by anonymous

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1 Answer

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Out of 49 total possibilities of scores only
(3,6)
(4,5), (4,6)
(5,4), (5,5), (5,6)
(6,3), (6,4), (6,5), (6,6) are the winning possibilities. Therefore the probability of winning is =( 10/49 ) ie., 20.41% chance of winning.

answer Mar 15, 2017 by Tejas Naik



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