Out of 100 emails, 60 are spam and 48 of those contain the word buy. Of the remaining 40 emails that are not spam, only 4 emails contain the word buy. Given that an email is spam, what is the probability that it contains the word buy? {this is a Plato geometry B question!}A.]0.80B.] 0.87 C] 0.92 D.] 0.97
Accepted Solution
A:
Answer with Step-by-step explanation: Contain Buy Do not contain Buy TotalSpam 48 12 60Not Spam 4 36 40P(it contains the word buy and it is spam)=48/100P(It is spam)=60/100Baye's theorem states that:P(A given B)=P(A∩B)/P(B)P( it contains the word buy, Given that an email is spam)=P(it contains the word buy and it is spam)/P(It is spam)= 0.48/0.60=0.80Hence, Correct option is:A.] 0.80