Q:

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?

Accepted Solution

A:
Answer:1/4Step-by-step 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, 6The probability of rolling an even number is;(total number of faces with even numbers) / (total number of faces)The even numbers are;2, 4, 6The probability of rolling an even number is thus;3/6 = 1/2If a penny is tossed, the probability of landing heads is simply;1/2This 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 = 1/4we simply find the product of the probabilities of the individual events since they are independent.