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lacrotix
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Homework Statement
This question is suppose to be solved at the Math 12 Principles level:
Suppose there are 5 white golf balls, 3 yellow golf balls, and 4 orange golf balls in a pocket of a golf bag. Three balls are randomly drawn, and not replaced...
What is the possibility of drawing 2 white golf balls and 1 yellow golf ball?
Homework Equations
A couple of equations, but my teacher strongly suggested the class to use logic and "inner gut reasoning" to solve a good portion of probability questions. He said that this would be more beneficial to us than trying to simply use a formula.
The Attempt at a Solution
I did:
[tex]\frac{5}{12} \:*\: \frac{4}{11} \:*\: \frac{3}{10} \:=\: \frac{1}{22}[/tex] In which:
- The (5/12) is suppose to represent the first draw being a white ball.
- The (4/11) is suppose to represent the second draw being another white ball.
- The (3/10) is suppose to represent the third draw being a yellow ball.
- The (1/22) is suppose to represent the final calculated answer of the probability of the given problem.
However, the answer is suppose to be (3/22), which is my answer multiplied by 3. I feel I am almost close to reaching this solution, but I can't yet rationalize why I would need to multiply my answer by 3.
Can anybody help and clarify and explain this to me.
Thanks!