Question

4 of 54 of 5 Items


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

12

Answer 1

To find the expected number of times you will select the number 5 from a deck of 10 cards labeled 1–10 after repeating the selection process 120 times, you can use the concept of expected value.

The probability of selecting the number 5 in one draw is:

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

If the experiment is repeated 120 times, the expected number of times you will select the number 5 is:

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

So you can expect to select the number 5 approximately **12 times** after repeating the selection 120 times.