the manager of a video game store found that 35 of the 140 people who preordered the latest baseball game…

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 managers 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?\no $\frac{1}{16}$\no $\frac{1}{8}$\no $\frac{1}{4}$\no $\frac{1}{2}$

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 managers 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?\no $\frac{1}{16}$\no $\frac{1}{8}$\no $\frac{1}{4}$\no $\frac{1}{2}$

Answer

Explanation:

Step1: Calculate single - customer cancel probability

The probability that a single customer cancels is the number of cancellations divided by the total number of pre - orders. Given 35 cancellations out of 140 pre - orders, the probability $p$ that a single customer cancels is $p=\frac{35}{140}=\frac{1}{4}$.

Step2: Calculate probability of two customers canceling

Since the events of two customers canceling are independent, the probability that both customers cancel is the product of the probabilities of each customer canceling. If the probability of one customer canceling is $p = \frac{1}{4}$, then the probability that two customers both cancel is $p\times p=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$.

Answer:

$\frac{1}{16}$