A quality controller inspected 500 units of a product and rejected 80 units due to defects. What is the probability that a unit will pass inspection (no defects)?

16%
0%
50%
84%

1 answer

To find the probability that a unit will pass inspection, we can determine the number of units that passed inspection and divide that by the total number of units inspected.

  1. Total units inspected = 500
  2. Units rejected (due to defects) = 80
  3. Units that passed inspection = Total units - Units rejected = 500 - 80 = 420

Now, we calculate the probability of passing inspection:

\[ \text{Probability of passing inspection} = \frac{\text{Units that passed}}{\text{Total units inspected}} = \frac{420}{500} \]

Calculating that gives:

\[ \frac{420}{500} = 0.84 \]

To express this as a percentage:

\[ 0.84 \times 100 = 84% \]

Thus, the probability that a unit will pass inspection (no defects) is 84%.