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?
Since there are 10 cards in the deck, each card has an equal probability of being selected, which is 1/10.
Therefore, the expected number of times you will select card number 5 in 120 experiments can be calculated as follows:
Expected number of times = (Probability of selecting card number 5) x (Total number of experiments)
Expected number of times = (1/10) x 120
Expected number of times = 12
Therefore, you can expect to select card number 5 approximately 12 times out of the 120 experiments.