Which of the following is the converse of the statement, "if i eat too much,
then i will gain weight"?
o
a. if i eat too much, then i won't gain weight.
o
b. if i don't eat too much, then i won't gain weight.
o
c. if i don't gain weight, then i won't eat too much.
o
d. if i gain weight, then i will eat too much.

answer: b

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560