Question

twenty-nine percent of all light emitting diode displays are manufactured by samsung. what is the probability that in a collection of two independent purchases, at lease one is a sumsung?

Answer 1

The probability that at least one of two independent purchases is a Samsung display can be calculated using the complement rule:

P(at least one Samsung) = 1 - P(neither is a Samsung)

The probability that neither of the two purchases is a Samsung display is:

P(neither is a Samsung) = (1 - 0.29) x (1 - 0.29) = 0.51

Therefore, the probability that at least one of the two purchases is a Samsung display is:

P(at least one Samsung) = 1 - 0.51 = 0.49

The probability that in a collection of two independent purchases, at least one is a Samsung is 0.49.