Answer:
The probability that a box with two defective toys will be shipped is 0.29825
Step-by-step explanation:
The first toy picked has a 17 in 19 chance of not being defective
The second toy picked has a 16 in 18 chance of not being defective
The third toy picked has a 15 in 17 chance of not being defective
The probability that the toy is not defective, and will be shipped
P(toy not defective and shipped) = (17/19) *(16/18)*(15/17)
= (16*15)/(19*18)
= 240/342
= 0.70175
The question said, suppose that a given box has two defective toys, what is the probability that it will be shipped?
P( toy defective and not shipped) = 1 - P(toy not defective and shipped)
= 1-0.70175
= 0.29825
The probability that a box with two defective toys will be shipped is 0.29825
