Question

D)
If two dice are tossed together, what is the probability of the
sum of the numbers on the dice being
An even number
i) 1/2 ii) 3/2 iii) 5/2 iv) 1​

Answer 1

Answer:

Option i) $\frac{1}{2}$ is the correct answer.

Step-by-step explanation:

In order to meet required condition, both the die will have to get even or odd number.

The probability of first die to have even number is $\frac{3}{6} = \frac{1}{2}$

The probability of second die to have even number is $\frac{3}{6} = \frac{1}{2}$

Probability of above two happening together $=\frac{1}{2} x \frac{1}{2} = \frac{1}{4}$

The same way, the probability of both the dice having odd number together $=\frac{1}{4}$

Now the Probability of either of the above two happening is $\frac{1}{4} + \frac{1}{4} = \frac{1}{2}$