Question

When rolling a six-sided number cube and spinning a spinner containing the letters A-H, what is the P(rolling an even number and landing on a vowel), expressed as a fraction in simplest form?

A. 1/4
B. 1/6
C. 1/8
D. 1/12

Answer 1

The probability of rolling an even number and spinning a vowel is found by multiplying the probability of each individual event. The probability is 1/4 (Option A) Correct Answer.

Step-by-step explanation:

The question asks about the probability of two independent events occurring together: rolling an even number on a six-sided die, and spinning a vowel on a spinner with 8 different letters (A-H). Since there are three even numbers on a die (2, 4, and 6) and four vowels in the given set (A, E, I, O), each having an equal chance of occurring.

To find the combined probability, we calculate the probability of each event separately and then multiply them together. The probability of rolling an even number (event E) on a six-sided die is ½, since there are 3 even numbers out of 6. The probability of landing on a vowel (event V) when spinning the spinner is ½ as well, since there are 4 vowels out of 8 possible outcomes.

Using the product rule, the combined probability P(rolling an even number and landing on a vowel) is (1/2) * (1/2) = 1/4. Therefore, the correct answer is A. 1/4.