Let U = { a, b,c, d,e, f,g } , A = { a, c,f, g } , B = { f, g,b, d } then solve the following
note : this symbol ' is known as complement
1 : (A U B)' = ( A' ∩ B' )
2 : ( A ∩ B )' = ( A' U B' )

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

i think the amount would be $140.62

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

yes they are the same