Question

An unbiased die is thrown once. The probability of getting an even multiple of 3 is ______.

विकल्प

• 0

• `1/2`

• `1/3`

• `1/6`

Answer 1

An unbiased die is thrown once. The probability of getting an even multiple of 3 is `underlinebb(1/6)`.

Explanation:

1. Identify the sample space

When a standard unbiased die is thrown once, there are 6 possible outcomes:

Sample space (S) = {1, 2, 3, 4, 5, 6}

Total number of outcomes, n(S) = 6

2. Identify the favorable outcomes

We need to find the probability of getting an even multiple of 3.

Multiples of 3 on a die are {3, 6}

Of these, the only even number is {6}

Number of favorable outcomes, n(E) = 1

3. Calculate the probability

The formula for probability is:

P(E) = `"Number of favorable outcomes"/"Total number of outcomes"`

P(E) = `1/6`