Question

A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 14% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 50 cans?

P(Both defective) = 7/50
P(Both defective) = 49/2500
P(Both defective) = 3/175
P(Both defective) = 7/25

Answer 1

Probability of being defective is 14% = 14/100 = 7/50

P(Both defective) = 7/50 * 7/50 = 49/2500