Question

The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released. He used that data to create a simulation to predict the probability that future customers will cancel their preorders.

According to the manager’s model, what is the probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released?
StartFraction 1 over 16 EndFraction
StartFraction 1 over 8 EndFraction
One-fourth
One-half

Answer 1

To find the probability that two customers who preorder the newest golf game will both cancel their orders, we first need to determine the probability of one customer canceling their preorder.

From the data provided, 35 out of 140 people canceled their preorders. The probability \( P \) that a single customer will cancel their preorder is given by:

\[
P(\text{cancel}) = \frac{35}{140} = \frac{1}{4}
\]

Now, we want to find the probability that both customers will cancel their preorders. Since the cancellations are independent events, we can multiply the probabilities for each customer:

\[
P(\text{both cancel}) = P(\text{cancel}) \times P(\text{cancel}) = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16}
\]

Thus, the probability that both customers will cancel their orders is:

\[
\frac{1}{16}
\]

Therefore, the correct answer is \( \frac{1}{16} \).