Question

30.The probability of winning a game is one third of the probability of losing the game. The
probability of losing the game is x-2 . Find the value of x and the probability of winning the
game.

Answer 1

Answer:

0.7

Step-by-step explanation:

Let A be an event of winning and B be an event of losing the game.

Given P(A)=0.3

Total probability =P(A)+P(B)

⇒ 1=0.3+P(B)

⇒ P(B)=1−0.3=0.7

∴ P(B)=0.7

Answer 2

Step-by-step explanation:

LOSING'S PROBABILITY IS X-2

AND WINNING'S PROBABILITY IS THAT IS 1/3 OF LOSING

SO, WINNING PROBABILITY=X-2/3

AS WE KNOW THERE CAN BE ONLY TWO RESULTS POSSIBLE WINNING OR LOSING SO ITS SUM WOULD BE 1

X-2 + X-2/3=1

SIMPLIFY IT BY TAKING LCM AND AFTER THAT IT CAN BE WRITTEN AS

3X-6+X-2=3

4X-8=3

4X=11

X=11/4

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