SOLUTION: A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find the probability of the following. a) purp

Algebra.Com
Question 450039: A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find the probability of the following.
a) purple chip then black
b) black chip then white chip
c) 2 purple chips
d) white chip, then purple chip, then black chip
e) 3 white chips
f) black chip, then white chip, then red chip

Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
10 chips in all (4-w,5-p,1-b)
Chips are selected randomly one at a time, and are "not replaced".
Find the probability of the following.
a) purple chip then black = 5/10*1/9
b) black chip then white chip = 1/10*4/9
c) 2 purple chips = 5*10*4/9
d) white chip, then purple chip, then black chip = 4/10*5*9*1/8
e) 3 white chips = 4/10*3/9*2/8
f) black chip, then white chip, then red chip = 0 (no red chips)
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


a) There are 5 purple chips out of 10 total chips, so the probability of picking a purple chip on the first draw is 1/2. Then, given a purple was picked on the first draw with no replacement, there is 1 black chip out of 9 remaining chips, so 1/9. 1/2 times 1/9 = 1/18.

Sorry, you only get one problem answered per post.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

Jar A has 4 red chips and 6 black chips. Jar B has 5 red chips and 5 black chips. One... (answered by Fombitz)
A bag contains five red chips, three white chips, and two blue chips. Three chips are to... (answered by ewatrrr)
a box contains 8 red chips, 6 blue chips, and 12 white chips. three chips are randomly... (answered by stanbon)
a box has 2 red chips, 2 blue chips. and 1 green chip. 2 chips are randomly selected... (answered by chiggypiggy)
A box contains exactly five chips, three red and two white. Chips are randomly removed... (answered by Boreal)
A box contains two red chips and three white chips. Let X denote the number of draws... (answered by jrfrunner)
a bag contains 5 red chips, 3 white chips, and 2 blue chips. three chips are selected... (answered by stanbon)
A box contains 7 red chips and 3 white ones. two chips are randomly selected from the... (answered by edjones)
A bowl contains 4 red chips, 3 blue chips, and 9 green chips. You choose one chip at... (answered by ewatrrr)