Question

12-14. You roll a cube with the numbers 13, 16, 18, 20, 22, and 24 on it. You then spin a spinner which has 6 sections. The letters on the spinner are E, B, G, K, D, and H. Find each probability. Show all work. P(rolling a 2, spinning an A) _________ 6. P(rolling an even number, spinning a vowel) _________ 7. P(rolling a number less than 3, spinning a consonant) _________

Answer 1

The probability of rolling a 2 and spinning an A is 0. The probability of rolling an even number and spinning a vowel is 1 out of 6. The probability of rolling a number less than 3 and spinning a consonant is 0.

Step-by-step explanation:

The probability of rolling a 2 and spinning an A can be found by multiplying the probability of rolling a 2 (which is 1 out of 6 possible outcomes) with the probability of spinning an A (which is 0 out of 6 possible outcomes). Therefore, the probability is 0.

The probability of rolling an even number and spinning a vowel can be found by multiplying the probability of rolling an even number (which is 3 out of 6 possible outcomes) with the probability of spinning a vowel (which is 2 out of 6 possible outcomes). Therefore, the probability is 6 out of 36, which simplifies to 1 out of 6.

The probability of rolling a number less than 3 and spinning a consonant can be found by multiplying the probability of rolling a number less than 3 (which is 0 out of 6 possible outcomes) with the probability of spinning a consonant (which is 4 out of 6 possible outcomes). Therefore, the probability is 0.