Question

When a number cube is rolled along with a coin toss, then what is the probability that you toss a head and roll an even number on the number cube?

• A. $\frac{3}{16}$
• B. $\frac{1}{2}$
• C. $\frac{1}{6}$
• D. $\frac{1}{4}$

Answer 1

The correct option is D $\frac{1}{4}$

Consider the sample space for the given conditions.

From the table the total number of outcomes possible $=12$
Total number of favorable outcomes where the head and even number occur $=3$
Probability that you toss a head and roll an even number on the number cube $=\frac{\text{total number of favorable outcomes where the head and even number occur}}{\text{Total number of outcomes}}=\frac{3}{12}=\frac{1}{4}$