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
12

1/10
Start Fraction 1 over 10 End Fraction

1/120
Start Fraction 1 over 120 End Fraction

10

Answer 1

To determine how many times you would expect to select the number 5 when drawing a card from a shuffled deck of 10 cards labeled 1–10 over 120 trials, you can use the concept of expected value.

The probability of selecting any specific card (including the card labeled 5) in one draw is \( \frac{1}{10} \).

If you repeat the experiment 120 times, the expected number of times you would select the card labeled 5 can be calculated as:

\[
\text{Expected selections} = \text{Total trials} \times \text{Probability of selecting 5} = 120 \times \frac{1}{10} = 12
\]

Thus, you would expect to select the number 5 **12 times** in 120 trials.

The correct answer is:

**12**