If she has 2 shirts, 2 pairs of pants, and 2 caps to choose from how many different outfits can she make

Step-by-step explanation:

8 outfits

Step-by-step explanation:

Take the number of shirts times the number of pants  times the number of caps

2*2*2 = 8

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 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