Six hundred paving stones were examined for cracks, and 15 were found to be cracked. the same 600 stones were then examined for discoloration, and 27 were found to be discolored. a total of 562 stones were neither cracked nor discolored. one of the 600 stones is selected at random. a. find the probability that it is cracked, discolored, or both b. find the probability that it is both cracked and discolored c. find the probability that it is cracked but not discolored p(a ո bc)

Probability that a stone is cracked = 15/600; denote this event by .

Probability that a stone is discolored = 27/600; denote this event by .

Probability that a stone is neither cracked nor discolored = 562/600; in terms of and , this event is captured by .

a. We want to find . Use the known probability of its complement:

b. We want to find . By the inclusion-exclusion principle,

c. By the law of total probability,

3+x

step-by-step explanation:

answer: the answer is b. i think hope i got it correct

step-by-step explanation: