Joseph has a coin and a number cube labeled 1 through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails-up and the cube lands on an even number?
Answer (3)
Total number of cube outcomes = 6 Number of them that are even numbers = 3 (roll a 2, 4, or 6) Probability of an even number = 3/6 = 0.5
Total number of coin outcomes = 2 Number of tails-up = 1 Probability of tails-up = 1/2 = 0.5
Probability of BOTH events happening = (0.5) x (0.5) = 0.25 = 25 percent
The probability that Joseph's coin lands tails-up and the number cube lands on an even number is 4 1 or 25%. This is calculated by multiplying the probability of getting tails from the coin ( 2 1 ) and the probability of rolling an even number on the cube (also 2 1 ). Hence, the final combined probability is 4 1 .
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