Mr. A makes a bet with Mr. B that in a single throw with two dice he will throw a total of seven before B throws four. Each of them has a pair of dice and they throw simultaneously until one of them w

Question

Mr. A makes a bet with Mr. B that in a single throw with two dice he will throw a total of seven before B throws four. Each of them has a pair of dice and they throw simultaneously until one of them wins equal throws being disregarded. Probability that B wins, is

TestHub · Accepted Answer

We have P ( A ) = P ( 7 ) = 36 6 ​ m , P ( B ) = P ( 4 ) = 36 3 ​ Since equal throws are disregarded, Hence in each throw A is twice as likely to win as B. Let P ( B ) = p , P ( A ) = 2 p 3 p = 1 ⇒ P = 3 1 ​

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