SOLUTION: There are 10 red jelly beans, 8 blue jelly beans, and 12 white jelly beans in a jar, and you pick out three jelly beans, one at a time, without replacement. What is the probability

Algebra.Com
Question 1161556: There are 10 red jelly beans, 8 blue jelly beans, and 12 white jelly beans in a jar, and you pick out three jelly beans, one at a time, without replacement. What is the probability that they are all blue?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52784)   (Show Source): You can put this solution on YOUR website!
.

There are 10+8+12 = 30 jelly beans, in all.


Therefore,  the probability under the question is


    P =  = 0.013793.     ANSWER


The formula is self-explanatory.

Solved.


Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Calculating the probability by the "one at a time" method shown by tutor @ikleyn is something you should know how to do.

There is another basic combinatorics method you should also know that can be used to solve the problem.

Out of the 30 total jelly beans, you need to pick 3; and you want to get 3 of the 8 blue, 0 of the 10 red, and 0 of the 12 white:



=

= 0.013793 to several decimal places
RELATED QUESTIONS

Hi tutors, can you help me answer this question? thanks A jar contains red, blue,... (answered by josgarithmetic)
A jar contains red, blue, yellow, pink and white jelly beans. James wants to estimate the (answered by macston)
In a jar of 960 jelly beans 1/6 of the jelly beans are red and 1/8 of the jelly beans are (answered by checkley77)
Belly Jellies is one of Canada's leading producers of Jelly Beans. They sell factory... (answered by mathmate)
A candy store mixes green and red jelly beans in a barrel. The barrel contains 42 pounds... (answered by addingup)
A Candy store sells red jelly beans and blue jelly beans Caden buys 8 ounces of red and 4 (answered by josgarithmetic)
Ten jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and... (answered by solver91311)
Two jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and... (answered by stanbon)
Six jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and... (answered by solver91311)