If you roll two fair six-sided dice, what is the probability that both dice show an odd number?

Solution:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by :

Let ‘x’ be the number on the first dice

‘Y’ be the number on second dice

First dice showing odd number = {1,3,5}

Second dice also has odd number = {1,3,5}

The probability that the first dice shows an odd number = 3/6.

The probability that the second dice shows an odd number = 3/6.

The possible results are (1,1), (1,3), (1,5), (3,1), (3,3), (3,5), (5,1), (5,3), (5,5).

The probability that both dice show an odd number is (3/6) × (3/6)

= 9/36

= 1/4

Therefore, the probability of getting an odd number in both dice is 1/4.

If you roll two fair six-sided dice, what is the probability that both dice show an odd number?

Summary:

If you roll two fair six-sided dice, the probability that both dice show an odd number is 1/4.