Determine the following probabilities: (For parts 1, 2, 3 below, please leave answer in fraction.)

(1) A box contains 3 Blue, 5 Red, and 2 White balls. Three balls are chosen at random (without replacement). Determine the probability that you draw a Blue, White, Red (in that order).

(2) A box contains 5 Blue, 3 Red, and 2 White balls. Three balls are chosen at random (without replacement). Determine the conditional probability that the last ball is White given that the first two were Blue.

(3) In a family of 3 children, what is the probability that there are more boys than girls?

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?

In dire need~! describe how to use area models to find the quotient 2/3 divided by 1/5. check your work by also finding the quotient 2/3 divided by 1/5 using numerical operations only.

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)