To find the expected number of times you will select the number 5 when you repeat the experiment of drawing a card from a shuffled deck of 10 cards (labeled 1–10) a total of 120 times, you can use the concept of expected value.
The probability of drawing the card labeled "5" in a single draw is \( \frac{1}{10} \) (since there is 1 card with the number 5 out of 10 total cards).
Now, if you conduct the draw 120 times, the expected number of times you select the number 5 can be calculated as follows:
\[ \text{Expected number of times to select number 5} = \text{Total draws} \times \text{Probability of selecting 5} \] \[ = 120 \times \frac{1}{10} = 12 \]
So, the expected number of times you would select the number 5 when you repeat the experiment 120 times is 12.