Math, asked by vykuntammenda121, 4 months ago

Two persons A and B are rolling two dice on
the condition that the person who gets 3 will
win the game. If A starts the game, then find
the probability of A and B respectively to win
the game.

Answers

Answered by prabhas24480
2

Answer ⤵️

Probability of win=

6

1

Probability of lose =

6

5

if A starts the game

Probability that A wins =

6

1

+

6

5

×

6

5

×

6

1

+

6

5

×

6

5

×

6

5

×

6

5

×

6

1

......... so on

=

6

1

[1+(

6

5

)

2

+(

6

5

)

4

......]

Using infinite GP, we get

Probability that A wins

6

1

×

1−(

6

5

)

2

1

=

11

6

Probability that B wins =1−

11

6

=

11

5

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