3. you are buying potato chips at the grocery store. you have a manufacturer’s coupon for $0.50 off and the store is offering 50% off if you buy 2 bags. how do you compute your final cost?
subtract $0.50 off of each bag and then divide by 2.
divide each bag by 2, subtract $0.50 off of each bag, and then add them together.
add the two bags together, divide by 2, and then subtract $0.50.
subtract $0.50 from the first bag, add them together, and then divide by 2.

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

jml angle lkj & angle mj = lm