A Aachii New Member Joined Jul 12, 2011 Messages 3 Gender Female HSC 2012 Mar 3, 2012 #1 5 boys and 4 girls are at camp. 6 of them are selected to ride in a rowboat. What is the probability that the selected group contains 3 boys and 3 girls?
5 boys and 4 girls are at camp. 6 of them are selected to ride in a rowboat. What is the probability that the selected group contains 3 boys and 3 girls?
harrowed2 Member Joined Apr 14, 2007 Messages 82 Gender Female HSC N/A Mar 5, 2012 #2 There are 9C6 ways of choosing 6 campers from 9 ( = 84) There are 5C3 ways of selecting 3 boys and 4C3 ways of choosing 3 girls ( ie 10 x 4 ) So the probability of choosing 3 boys and 3 girls is 40/84 = 10/21
There are 9C6 ways of choosing 6 campers from 9 ( = 84) There are 5C3 ways of selecting 3 boys and 4C3 ways of choosing 3 girls ( ie 10 x 4 ) So the probability of choosing 3 boys and 3 girls is 40/84 = 10/21
Carrotsticks Retired Joined Jun 29, 2009 Messages 9,494 Gender Undisclosed HSC N/A Mar 5, 2012 #3 Lol why is this in general?
Aysce Well-Known Member Joined Jun 24, 2011 Messages 2,394 Gender Male HSC 2012 Mar 5, 2012 #4 Carrotsticks said: Lol why is this in general? Click to expand... I wonder about the same thing...
harrowed2 Member Joined Apr 14, 2007 Messages 82 Gender Female HSC N/A Mar 5, 2012 #5 Carrotsticks said: Lol why is this in general? Click to expand... Because General does Permutations & Combinations (at a simple level) in their Applications of Probability topic.
Carrotsticks said: Lol why is this in general? Click to expand... Because General does Permutations & Combinations (at a simple level) in their Applications of Probability topic.
Carrotsticks Retired Joined Jun 29, 2009 Messages 9,494 Gender Undisclosed HSC N/A Mar 5, 2012 #6 harrowed2 said: Because General does Permutations & Combinations (at a simple level) in their Applications of Probability topic. Click to expand... I don't remember the General Maths course learning how to utilise C(n,k) notation. Though I could be mistaken.
harrowed2 said: Because General does Permutations & Combinations (at a simple level) in their Applications of Probability topic. Click to expand... I don't remember the General Maths course learning how to utilise C(n,k) notation. Though I could be mistaken.
iamorbid Member Joined Jul 28, 2012 Messages 129 Gender Male HSC 2012 Jul 28, 2012 #7 I think...((5x4x3)+(4x3x2)) / 3!