What is the chance of rolling an odd number on a six-sided dice?

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Answer: 1/12 How to get this answer: The probability of rolling an odd number is 1/2 because there are half as many odd numbers compared to even numbers on a six-sided die. You can think of it as 3 odd numbers out of 6 total, so 3/6 = 1/2 is the probability of getting an odd number. The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total. Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12 The two events are independent from one another.

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.

Summary:

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