self Maths Puzzle Numerical Ability Probability

2 persons A & B are rolling a die on the condition that the person who gets 3 will win the game. If A starts the game, then find the probabilities of A & B respectively to win the game??

Read Solution (Total 4)

probability of A = 1/6 + (5/6)^2*1/6 + (5/6)^4*1/6 + ..... infinite series so
P(A)= 1/6/(1-(5/6)^2)=6/11

and P(B)=1-6/11=5/11
11 years agoHelpfull: Yes(4) No(1)

by using gp
sum of infinite series= a/1-r
so probability of a= (1/6)/1-(25/36) = 6/11
probability of b= 1-6/11 = 5/11
11 years agoHelpfull: Yes(0) No(1)
probability of A for win=1/6
probability of B for win=1/6
so bothe= 1/6+1/6=1/3
11 years agoHelpfull: Yes(0) No(3)
probability of winning=1/6
probability of not winning=5/6
so,probability of winning a&b=5/6*5/6+5/6*1/6+1/6*5/6=35/36
11 years agoHelpfull: Yes(0) No(0)

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