Question

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.]0.80
B.] 0.87
C] 0.92
D.] 0.97

Answer 1

Answer:

A:80

Step-by-step explanation:

Took the test and got it right.

Answer 2

Answer with Step-by-step explanation:

                               Contain Buy              Do not contain Buy        Total

Spam                           48                                    12                             60

Not Spam                     4                                     36                             40

P(it contains the word buy and it is spam)=48/100

P(It is spam)=60/100

Baye'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

=0.80

Hence, Correct option is:

A.] 0.80