# What is the probability that X will win?

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Two men play a dice game involving the roll of two standard dice. Man X says that a 12 will be rolled first. Man Y says that two consecutive 7s will be rolled first. The men keep rolling until one of them wins.

What is the probability that X will win?

posted Feb 25, 2022
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Two men play a dice game involving roll of two standard dice. Man X says that a 12 will be rolled first. Man Y says that two consecutive 7s will be rolled first. The men keep rolling until one of them wins.

What is the probability that X will win ?

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