A lot of 1000 components contains 300 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective.
Find P(B and A) .
A) 0.0033
B) 0.3
C) 0.0898
D) 0.2993

Question

A lot of 1000 components contains 300 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective.
Find  P(B  and  A) .
A)  0.0033 
B)  0.3 
C)  0.0898 
D)  0.2993

Quizplus · Accepted Answer

P(B and A) = P(A) * P(B|A) = (300/1000) * (299/999) = 0.0898. This is because after drawing the first defective component, there are 299 defective components left out of 999 total components.

A Lot of 1000 Components Contains 300 That Are Defective