Question

When two dice are rolled the probability of getting same odd number on two dice is

• A. \(\frac {1}{12}\)
• B. \(\frac {1}{18}\)
• C. \(\frac {1}{15}\)
• D. \(\frac {1}{16}\)

Answer 1

The Correct Option is A

To solve the problem, we need to find the probability of getting the same odd number on both dice when two dice are rolled.

1. Total Outcomes When Two Dice Are Rolled:
Each die has 6 faces, so the total number of outcomes when rolling two dice is:
$ 6 \times 6 = 36 $

2. Favorable Outcomes:
Odd numbers on a die are: 1, 3, 5
To get the same odd number on both dice, the favorable outcomes are:
(1,1), (3,3), (5,5)
So, the number of favorable outcomes = 3

3. Calculating the Probability:
Probability = (Number of favorable outcomes) / (Total outcomes)
$ = \frac{3}{36} = \frac{1}{12} $

Final Answer:
The probability of getting the same odd number on both dice is $ {\frac{1}{12}} $