A spinner with three equal spaces (labeled A,B, and C) is spun. If the spinner lands on A or C a coin is flipped. If the spinner lands on B a standard 6-sided dice is rolled. What is the probability of spinning a B and rolling a prime?
1/3
To find the probability of spinning a B and rolling a prime, we need to determine the probability of each individual event and then multiply them together.
1. Probability of spinning a B:
Since the spinner has three equal spaces (A, B, and C), the probability of spinning a B is 1/3.
2. Probability of rolling a prime:
A standard 6-sided dice has the numbers 1, 2, 3, 4, 5, and 6. Out of these, the prime numbers are 2, 3, and 5. So the probability of rolling a prime is 3/6, which simplifies to 1/2.
Now, to find the probability of both events occurring, we multiply the probabilities together:
(1/3) * (1/2) = 1/6
Therefore, the probability of spinning a B and rolling a prime is 1/6 or approximately 0.1667.