To find the expected number of times you would select the number 5 from a deck of 10 cards labeled 1 to 10 over 120 trials, you can use the concept of probability.
The probability of selecting the number 5 in one draw is:
\[ P(5) = \frac{1 \text{ (the number 5)}}{10 \text{ (total number of cards)}} = \frac{1}{10} \]
If you repeat this experiment 120 times, the expected number of times to select the number 5 is:
\[ \text{Expected number of times} = P(5) \times \text{Number of trials} = \frac{1}{10} \times 120 = 12 \]
Thus, the expected number of times to select the number 5 is 12.
The correct response is: 12