Question

Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are 0.8, 0.7 and 0.5. Each vendor supplies one component. The probability that out of total three components supplied by the vendors at least one will meet the design specifications is .

• A. 0.97

Answer 1

The correct option is A 0.97
Probability that atleast one will meet the design speciication = 1 - probability that no will meet the design specifications
$=1-(1-0.8)(1-0.7)(1-0.5)$
$=1-\left(\right(0.2\left)\right(0.3\left)\right(0.5\left)\right)$
$=0.97$