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

1120
Start Fraction 1 over 120 End Fraction

12
12

110
Start Fraction 1 over 10 End Fraction

10

1 answer

To find the expected number of times the number 5 will be selected when the experiment is repeated 120 times, we can use the concept of expectation.

The probability of selecting the number 5 from a deck of 10 cards (labeled 1 to 10) is \( \frac{1}{10} \).

When the experiment is repeated 120 times, the expected number of times number 5 will be selected can be calculated as:

\[ \text{Expected selections} = \text{Number of trials} \times \text{Probability of success} = 120 \times \frac{1}{10} = 12 \]

Thus, you would expect to select the number 5 a total of 12 times.

So the correct response is: 12