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1. If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -

A. $\frac{1}{4}$

B. $\frac{1}{2}$

C. $\frac{3}{4}$

D. $\frac{3}{5}$

Solution:

The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other.
Let the event of getting either both even or both odd
Then

\begin{aligned} P (\bar{E}) = \frac{18}{36} \\ = \frac{1}{2} \\ P (E) = 1 - \frac{1}{2} \\ = \frac{1}{2} \end{aligned}

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