Three friends went out to dinner. each person payed $10 too total $30. the waiter came back and said your bill is $25 my mistake. so he brought back $5 but he didn’t know how to split it amongst the three friends evenly. he gave back each of the friends $1 and pocketed $2 so their new total is $9 per meal and the total is now $27. so $27 plus the $2 be pockted is a total of $29 out of $30 where did the $1 go?

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

what do u need to know

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