Question

An unbiased die is thrown once. The probability of getting an odd prime number less than 3 is ______.

पर्याय

• `1/2`

• `1/3`

• `1/6`

• 0

Answer 1

An unbiased die is thrown once. The probability of getting an odd prime number less than 3 is 0.

Explanation:

1. Identify the sample space

When an unbiased die is thrown, there are 6 possible outcomes:

S = {1, 2, 3, 4, 5, 6}

So, the total number of outcomes is n(S) = 6.

2. Identify favorable outcomes

Prime: The prime numbers on a die are {2, 3, 5}.

Odd: Of those prime numbers, the odd ones are {3, 5}.

Less than 3: Now we check if any of these odd primes are less than 3.

3 is not less than 3.

5 is not less than 3.

Since there are no numbers on a standard die that are prime, odd, and less than 3, the number of favorable outcomes is 0.

3. Calculate probability

The probability P is calculated as:

P = `"Number of favorable outcomes"/"Total number of outcomes"`

= `0/6`

= 0