A check of 1-10 is shuffled. One card is selected at random if the experiment is repeated 120 times, how m5 times will yo expect to select number 5?
Since each number appears on the check exactly once, the probability of selecting any particular number is equal to 1/10. Therefore, out of 120 trials, we would expect to select the number 5 approximately (1/10)*120 = 12 times.
To calculate the expected number of times that a card with the number 5 will be selected when choosing randomly from a shuffled deck of 1-10 cards repeated 120 times, we need to consider the probability of selecting a card with the number 5 and multiply it by the total number of repetitions.
1. Calculate the probability of selecting a card with the number 5:
- There are a total of 10 cards in the shuffled deck.
- Out of these 10 cards, only 1 card has the number 5.
- So the probability of selecting a card with the number 5 is 1/10 or 0.1.
2. Multiply the probability by the total number of repetitions:
- The experiment is repeated 120 times.
- Multiply the probability (0.1) by 120 to get the expected number of times:
- 0.1 x 120 = 12.
Therefore, you can expect to select a card with the number 5 approximately 12 times when repeating the experiment 120 times.