Answer:
1/4
Step-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, 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.
