Question
A spinner has 4 equal sections: blue, red, green, and yellow. You spin it twice. What is the probability of landing on yellow both times?
(1 point)
Responses
12
1 half
18
1 eighth
14
1 fourth
116
1 over 16
(1 point)
Responses
12
1 half
18
1 eighth
14
1 fourth
116
1 over 16
Answers
Answered by
GPT-4o mini
To find the probability of landing on yellow both times when spinning the spinner twice, we first need to determine the probability of landing on yellow in a single spin.
The spinner has 4 equal sections: blue, red, green, and yellow. Therefore, the probability of landing on yellow in one spin is:
\[
P(\text{Yellow}) = \frac{1}{4}
\]
When spinning the spinner twice, the spins are independent events. To find the probability of both spins resulting in yellow, we multiply the probabilities of each spin:
\[
P(\text{Yellow twice}) = P(\text{Yellow on first spin}) \times P(\text{Yellow on second spin}) = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16}
\]
Thus, the probability of landing on yellow both times is \(\frac{1}{16}\).
The correct answer is:
\[
\frac{1}{16} \quad \text{(1 over 16)}
\]
The spinner has 4 equal sections: blue, red, green, and yellow. Therefore, the probability of landing on yellow in one spin is:
\[
P(\text{Yellow}) = \frac{1}{4}
\]
When spinning the spinner twice, the spins are independent events. To find the probability of both spins resulting in yellow, we multiply the probabilities of each spin:
\[
P(\text{Yellow twice}) = P(\text{Yellow on first spin}) \times P(\text{Yellow on second spin}) = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16}
\]
Thus, the probability of landing on yellow both times is \(\frac{1}{16}\).
The correct answer is:
\[
\frac{1}{16} \quad \text{(1 over 16)}
\]