CUET PG 2021 — Mathematics PYQ

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Question

CUET PG 2021 — Mathematics PYQ

CUET PG | Mathematics | 2021

The probability of getting a job for a person is x/3. If the probability of not getting the job is 2/3, then the value of x is

Choose the correct answer:

Explanation

1. Identify the given probabilities

Probability of getting the job $P(A) = \frac{x}{3}$
Probability of not getting the job $P(A') = \frac{2}{3}$

2. Set up the equation

According to the complement rule:

P(A) + P(A') = 1

Substitute the given values into the equation:

\frac{x}{3} + \frac{2}{3} = 1

3. Solve for $x$

Since the denominators are the same, we can combine the fractions:

\frac{x + 2}{3} = 1

Multiply both sides by $3$ :

x + 2 = 1 \times 3

x + 2 = 3

Subtract $2$ from both sides:

x = 3 - 2

x = 1

Final Answer:

The value of $x$ is $1$ .