SOLUTION: A large cooler contains the following drinks: 8 lemonades, 6 Sprites, 13 Cokes, and 5 root beers. You randomly pick two cans, one at a time (without replacement). Compute the follo

Question 1048396: A large cooler contains the following drinks: 8 lemonades, 6 Sprites, 13 Cokes, and 5 root beers. You randomly pick two cans, one at a time (without replacement). Compute the following probabilities.
(a) What is the probability that you get two cans of Sprite?

(b) What is the probability that you do not get two cans of Coke?

(c) What is the probability that you get either two root beers or two lemonades?

(d) What is the probability that you get one can of Coke and one can of Sprite?

(e) What is the probability that you get two drinks of the same type?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
32 Total: 8 lemonades, 6 Sprites, 13 Cokes, and 5 root beers
pick two cans, one at a time (without replacement)
|
The idea is: P = amount of the kind chosen/Total
Remembering on the second pick one less of both: kind and Total
a) P(2-S) = (6/32)(5/31)
b) P(NOT 2 C) = 1 - (13/32)(12/31)
c) P(2 RB 0r 2L) = (5/32)(4/31)+ (8/32)(7/31)
e) P = (6/32)(5/31) + (13/32)(12/31) + (5/32)(4/31)+ (8/32)(7/31)
d) P = (13/32)(6/31) + (6/32)(13/31) (Depends on which kind is picked first)
RELATED QUESTIONS
A large cooler contains the following drinks: 8 lemonades, 6 Sprites, 13 Cokes, and 5... (answered by solver91311)

A cooler contains 8 apple juice boxes, 9 cherry juice boxes, 6 strawberry juice boxes,... (answered by ikleyn)

Chris sold small lemonades for $1.29, medium lemonades for $1.49, and large lemonades for (answered by ankor@dixie-net.com)

there are 4 colas, 1 ginger ale, 7 root beers and 6 cheery sodas in the cooler what are... (answered by Edwin McCravy)

There were 2 colas, 1 ginger ale, 5 cherry sodas, and 4 root beers in the cooler. What is (answered by checkley77)

a cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, (answered by stanbon)

a cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, (answered by edjones)

A cooler contains 6 cans of Coke, 5 cans of Pepsi and 4 cans of RC Cola. Three cans are... (answered by robertb)

A cooler at a picnic contains 100 cans of soda covered by ice. There are 19 cans... (answered by ikleyn)