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?
Answers
GPT-4o mini
To determine the experimental probability of a computer having a bad sound card, you can use the formula for probability:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of favorable outcomes (defective sound cards) is 4, and the total number of outcomes (total computers tested) is 1,000. Therefore, the experimental probability \( P \) is calculated as follows:
\[
P(\text{defective sound card}) = \frac{4}{1000}
\]
To simplify this fraction:
\[
P(\text{defective sound card}) = 0.004
\]
Thus, the experimental probability of a computer having a bad sound card is **0.004** or **0.4%**.
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of favorable outcomes (defective sound cards) is 4, and the total number of outcomes (total computers tested) is 1,000. Therefore, the experimental probability \( P \) is calculated as follows:
\[
P(\text{defective sound card}) = \frac{4}{1000}
\]
To simplify this fraction:
\[
P(\text{defective sound card}) = 0.004
\]
Thus, the experimental probability of a computer having a bad sound card is **0.004** or **0.4%**.