Probability of randomly selecting three big blue marbles?

  • #1
goofyfootsp
12
0

Homework Statement



A bag contains 40 blue marbles, 40 red marbles, 20 green marbles. 60 of the marbles are big. Three marbles are selected without replacement.

What is the probability of randomly selecting three big blue marbles?

Homework Equations



p(x,y/theta=p(x)p(y/x)=p(y)p(x/y)

The Attempt at a Solution



(40/60)(39/59)(38/58)/(40/100)(39/99)(38/98)
 

Answers and Replies

  • #2
lzkelley
277
2
first being big blue: p1 = (40/60)(60/100)
second: p2 = (39/60)(59/99)
third: p3 = ...

all 3 = p1*p2*p3
... right?
 
  • #3
exk
119
0
wouldn't p2 = (39/59)(59/99) since there is 1 less big marble left?
 
  • #4
lzkelley
277
2
def (thats what i intended), sorry.
p2 = (39/59)(59/99)
 
  • #5
goofyfootsp
12
0
after multiplying p1*p2*p3 do I need to divide the sum by another number?
 
  • #6
exk
119
0
Why would you think that you need to divide by another number?
 
  • #7
goofyfootsp
12
0
Because the answer when p1*p2*p3=.061. yet my worksheet has choices of a. .0125, b. .0240, c. .2323, d. .2400
 
  • #8
exk
119
0
well on second thought you are write, it can't be the above.

B=blue, b=big.

P(B)*P(b) is the probability of the marble being big and blue and it initially = 40/100*60/100 since being big and being blue are independent of each other.

So I get 40/100*60/100*39/99*59/99*38/98*58/98 for all 3 to be B&b, since they are drawn in succession and without replacement. That = 0.0129, which is close to A?
 
  • #9
goofyfootsp
12
0
Thanks I got it and I really appreciate your help!
 
  • #10
exk
119
0
so was A the answer? I am just curious.
 
  • #11
goofyfootsp
12
0
yes thanks!
 

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