1057a)611
b)511
Ram and Sam are playing a ludo tie-breaker game where the first one who throws a six wins the game.Find the probability of Ram winning the game if :-
(a) Ram starts the game
(b) Sam starts the game
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6 Answers
106I'll give some hints for part (a), and part (b) is simply 1-P(a) (because they are complementary events)
If ram starts, he can win if:
1. he gets 6 first time
2. no 6 first time, sam doesn't get 6, ram gets 6.
3. no 6 for first 2 throws (for each) , ram gets 6 for his 3rd throw
4. no 6 for first 3 throws (each), 6 for ram's 4th throw.
5. ...
6. ...
7. ...
Calculate the probability for 1, 2, 3, 4 ,5, ...
and the required probability is the sum of these individual cases.
You should notice that the sum will be in geometric progression and then apply the infinite sum formula to get the probability.
