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Question

When a dice of six faces {1, 2, 3, 4, 5, 6} is thrown, which of the following is the probability of getting even number ?

This question was previously asked in
CUET PG 2026 Agri-Business Management Question Paper (25-Mar-2026) (Shift 2)
The correct answer is
$\frac{1}{2}$

Probability Calculation for Even Number Dice Throw

To find the probability of an event, we use the formula:

$ P(\text{Event}) = \frac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}} $

Total Possible Outcomes

When a standard six-faced dice is thrown, the possible outcomes are the numbers on its faces. The set of possible outcomes is {1, 2, 3, 4, 5, 6}.

Therefore, the total number of possible outcomes is 6.

Favourable Outcomes for an Even Number

We are interested in the event of getting an even number. The even numbers in the set of possible outcomes are {2, 4, 6}.

Thus, the number of favourable outcomes is 3.

Calculating the Probability

Using the probability formula:

$ P(\text{Even Number}) = \frac{\text{Number of even numbers}}{\text{Total numbers on the dice}} $

$ P(\text{Even Number}) = \frac{3}{6} $

Simplifying the fraction gives:

$ P(\text{Even Number}) = \frac{1}{2} $

So, the probability of getting an even number when a dice is thrown is $\frac{1}{2}$.

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