Posted by Kelsey on Friday, May 16, 2008 at 3:39am.
I need help with these probability problems.
1). Five chips are selected from a bag without replacement. The bag originally contained 6 yellow chips and 8 red chips. In how many ways can you choose 5 chips from the bag?
I did 14 C 5 and got 2002, is that correct.
2). In how many ways can you choose no yellow chips?

Math  Reiny, Friday, May 16, 2008 at 7:55am
no
you have to look at the results,
you have 5 chips selected, that could be one of the following cases :
0Y 5R .... RRRRR, only 1 way OR 5!/0!5!)
1Y 4R .... YRRRR, OR RYRRR, ... 5!/4! = 5
2Y 3R .... 5!/(2!3!) = 10
3Y 2R .... 5!/(3!2!) = 10
4Y 1R .... 5!/(4!1!) = 5
5Y OR .... 5!/(5!0!) = 1
total number of ways is 32
This is not a probability question, but rather based on the little formula
for the number of ways that you can arrange p things, q alike of one kind, and r alike of another kind, which is
p!/(q!r!)
2) the number of ways you can choose no yellow chips is 1, namely RRRRR
Had you asked "what is the probability of choosing no yellow chip in choosing any 5 chips from the above that would be
1/( 14C5 ) = 1/2002

Math  Reiny, Friday, May 16, 2008 at 8:12am
Correction:
I said at the end
"Had you asked "what is the probability of choosing no yellow chip in choosing any 5 chips from the above that would be
1/( 14C5 ) = 1/2002 "
that should have been 1/32
Answer This Question
Related Questions
 MATH Prob.  a bag contains 7 red chips and 10 blue chips. Two chips are ...
 Math  20. A bag contains 7 red chips and 10 blue chips. Two chips are selected ...
 math/probability  A bag contains 7 red chips and 10 blue chips. Two chips are ...
 Elementary math College  A bag contains 7 red chips and 9 blue chips. Two chips...
 algebra  if i had 1bag containing 6red chips & 5 yellow chips. another bag ...
 college math  a bag contains 7 red chips and 9 blue chips. Two chips are ...
 PROBABILITY MATH  A bag contains 10 red chips and 12 blue chips. Two chips are ...
 math  One bag contains 6 red chips and 5 yellow chips. Another bag contains 6 ...
 PRE CAL. JOURNAL  A BAG CONTAINS 3 RED CHIPS, 2 BLUE CHIPS AND 1 WHITE CHIP. IF...
 Statistics  Suppose a bag contains 7 red chips, 8 black chips, and 3 green ...
More Related Questions