In a simultaneous throw of a pair of dice, find the probability of getting even number on each die.

Given:

Two dice are thrown simultaneously. 

To do:

We have to find the probability of getting even number on each die.

Solution:

When two dice are thrown, the total possible outcomes are $6\times6=36$.

This implies,

The total number of possible outcomes $n=36$

Outcomes where we get even number on each die are $[(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)]$

Total number of favourable outcomes $=9$

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability of getting even number on each die $=\frac{9}{36}$

$=\frac{1}{4}$

The probability of getting even number on each die is $\frac{1}{4}$.       

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

683 Views

Kickstart Your Career

Get certified by completing the course

Get Started