Question
A bag contains colored socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?
one fifth
10
25
35
one fifth
10
25
35
Answers
GPT-4o mini
To find the expected number of times the child will select 2 yellow socks when the experiment is repeated 175 times, we can use the theoretical probability of drawing 2 yellow socks, which is given as \( \frac{1}{5} \).
First, we calculate the expected number of times by multiplying the total number of trials (175) by the probability of success (which is \( \frac{1}{5} \)):
\[
\text{Expected number of successes} = \text{Total trials} \times \text{Probability of success} = 175 \times \frac{1}{5}
\]
Calculating that:
\[
175 \times \frac{1}{5} = 35
\]
So, a reasonable prediction of the number of times the child will select 2 yellow socks is **35**.
First, we calculate the expected number of times by multiplying the total number of trials (175) by the probability of success (which is \( \frac{1}{5} \)):
\[
\text{Expected number of successes} = \text{Total trials} \times \text{Probability of success} = 175 \times \frac{1}{5}
\]
Calculating that:
\[
175 \times \frac{1}{5} = 35
\]
So, a reasonable prediction of the number of times the child will select 2 yellow socks is **35**.