Question

Brett rolls a number cube labeled from 1 to 6 and tosses a penny at the same time. What is the probability that he will roll an even number and toss heads?

Answer 1

1/4

Explanation:

We are informed that a cube labeled from 1 to 6 is rolled. The numbers on the faces of the cube are;

1, 2, 3, 4, 5, 6

The probability of rolling an even number is;

(total number of faces with even numbers) / (total number of faces)

The even numbers are;

2, 4, 6

The probability of rolling an even number is thus;

3/6 = 1/2

If a penny is tossed, the probability of landing heads is simply;

1/2

This is because there are only two possible outcomes; heads or tails with equal probability assuming the penny is fair.

now, the probability that he will roll an even number and toss heads is;

1/2 * 1/2 = 1/4

we simply find the product of the probabilities of the individual events since they are independent.