To find the expected number of times the number 3 will be selected from a pile of 10 cards labeled 1-10, we can use the concept of probability.
The probability of selecting the number 3 in one trial is: \[ P(\text{selecting 3}) = \frac{1}{10} \]
If the experiment (selecting a card) is repeated 250 times, the expected number of times the number 3 will be selected is given by multiplying the probability of selecting 3 by the total number of trials: \[ \text{Expected number of times} = P(\text{selecting 3}) \times \text{number of trials} = \frac{1}{10} \times 250 = 25. \]
Thus, you would expect to select the number 3 25 times.
The correct response is: 25 times.