Question

The probability of winning a game is x /12 . The probabilty of losing it is 1/ 3 . Find the value of x.

Answer 1

The probability of happening of an event always lies 0 to 1 and in percentage it lies 0 % to 100 % .
The sum of all the probabilities of all possible outcomes of experiment is 1.
P(Event) + P (not an Event) = 1.
Probability of an event can never be negative.

SOLUTION:

Given:
P(Event)= x/12
P(not Event)= 1/3

P(Event) + P (not an Event) = 1
x/12 + ⅓ =1
x/12 = 1 - ⅓
x/12 = (3 -1)/3
3x/12 = 2
3x = 2 × 12
3x = 24
x = 24/3

x = 8

Hence, the value of x = 8.

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Answer 2

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