Question

A deck of 10 cards labeled 1–10 is shuffled. One card is selected at random. If the experiment is repeated 120 times, how many times will you expect to select number 5?(1 point)
Responses

1/120
Start Fraction 1 over 120 End Fraction

12
12

10
10

1/10

Answer 1

To find the expected number of times you will select the card labeled 5 when repeating the experiment 120 times, you can use the following approach:

1. First, determine the probability of selecting the card labeled 5 in one trial. Since there are 10 cards labeled 1 to 10, the probability of selecting the card labeled 5 is:

\[
P(\text{selecting 5}) = \frac{1}{10}
\]

2. Next, multiply this probability by the number of trials (in this case, 120):

\[
\text{Expected number of times selecting 5} = P(\text{selecting 5}) \times \text{number of trials} = \frac{1}{10} \times 120 = 12
\]

Therefore, you would expect to select the card labeled 5 a total of **12 times** in 120 trials.

The correct response is:

**12**