Question

a computer manufacturer is performing a quality check to make sure the computers’ sound cards are working correctly. the plant manager tested 1,000 computers on monday and found that 4 had defective sound cards. what is the experimental probability of a computer having a bad sound card?

Explanation:

Step1: Recall the formula for experimental probability

The formula for experimental probability is $P(\text{event})=\frac{\text{Number of times the event occurs}}{\text{Total number of trials}}$.

Step2: Identify the values

Here, the number of computers with defective sound cards (the event) is $4$, and the total number of computers tested (total trials) is $1000$.

Step3: Calculate the probability

Substitute the values into the formula: $P(\text{bad sound card})=\frac{4}{1000}$. Simplify this fraction by dividing both the numerator and the denominator by $4$: $\frac{4\div4}{1000\div4}=\frac{1}{250}$, which is equal to $0.004$ in decimal form.

Answer:

$0.004$ or $\frac{1}{250}$