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?

Question

Answer choices;

12

1/10

1/120

10

Answer 1

To find the expected number of times the card labeled "5" will be selected after 120 trials, we can use the concept of probability.

The probability of selecting any specific card (including card number 5) from a deck of 10 cards is \( \frac{1}{10} \) because there is one card labeled "5" and ten total cards.

We can express the expected number of times card number 5 will be selected in 120 trials as: \[ \text{Expected selections of card number 5} = \text{total trials} \times \text{probability of selecting card number 5} \] \[ = 120 \times \frac{1}{10} = 12 \]

Thus, you can expect to select card number 5 a total of 12 times in 120 trials.

The correct answer is 12.