Question

a set of cards contains cards numbered 1 - 8. mrs. jacobs class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. the class will conduct 1,000 trials. based on theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?

Explanation:

Step1: Calculate the probability of drawing a 4

There are 8 cards numbered 1 - 8. The probability of drawing a 4 in a single draw is $\frac{1}{8}$ since there is 1 card with number 4 out of 8 total cards.

Step2: Calculate the expected number of times 4 is drawn

The class conducts 1000 trials. The expected number of times an event occurs is given by the formula $n\times p$, where $n$ is the number of trials and $p$ is the probability of the event. Here, $n = 1000$ and $p=\frac{1}{8}$. So the expected number of times 4 is drawn is $1000\times\frac{1}{8}=125$.

Answer:

125