Two fair dice are rolled 3 times and the sum of the numbers that come up is recorded. find the probability of these events. a. the sum is 4 on each of the three rolls. b. the sum is 4 exactly twice in the three rolls. a. the probability the sum is 4 on each of the three rolls is nothing. (type an integer or a simplified fraction.)

Step-by-step explanation:

Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.

a) The sum is 4 on each of the three rolls.

(1,3) (2,2) (3,1) HEnce for one throw prob = 3/36 =1/12

Prob for getting same sum 4 in 3 rolls =

(since each trial is independent)

b) Prob sum =4 in exactly 2 rolls

= =

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !