Question

A spinner is spun twice with 4 equal sections colored red, orange, green, and blue. What is the P(spinning one Red and one Blue)?

1 over 2
1 over 4
1 over 8
1 over 16

Answer 1

To determine the probability of spinning one Red and one Blue on the spinner, we need to calculate the favorable outcomes (getting one Red and one Blue) and divide it by the total possible outcomes.

There are two spins of the spinner, so let's consider the outcomes for each spin:

On the first spin, there are 4 equally likely outcomes (Red, Orange, Green, Blue).

Now, for the second spin, there are also 4 equally likely outcomes.

To calculate the favorable outcome of spinning one Red and one Blue, we need to consider the scenarios:

Red on the first spin and Blue on the second spin.

Blue on the first spin and Red on the second spin.

Therefore, there are two favorable outcomes (Red-Blue and Blue-Red).

The total number of possible outcomes is 4 * 4 = 16 (since there are 4 outcomes for each spin).

So, the probability of spinning one Red and one Blue is 2/16, which simplifies to 1/8.

Therefore, the answer is 1 over 8.