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?

1 answer

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%.