A spinner is spun twice with 4 equal sections colored purple, orange, green, and blue. What is the P(spinning two Greens)?

Question

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

Answer 1

To find the probability of spinning two greens on a spinner with 4 equal sections (colored purple, orange, green, and blue), we can break it down as follows:

1. The probability of landing on green in one spin is \( \frac{1}{4} \).
2. Since the spins are independent, the probability of landing on green in both spins is the product of the individual probabilities:

\[ P(\text{two greens}) = P(\text{green on 1st spin}) \times P(\text{green on 2nd spin}) = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} \]

Therefore, the probability of spinning two greens is \( \frac{1}{16} \).