Question 1206212: A monkey is given 12 blocks: 3 shaped like squares, 3 like rectangles, 3 like triangles, and 3 like circles. If it draws three of each kind in order—say, 3 triangles, then 3 squares, and so on—would you suspect that the monkey associates identically shaped figures? Calculate the probability of this event. (Round your answer to six decimal places.)
Answer by ikleyn(52752)   (Show Source):
You can put this solution on YOUR website! .
A monkey is given 12 blocks: 3 shaped like squares, 3 like rectangles, 3 like triangles, and 3 like circles.
If it draws three of each kind in order—say, 3 triangles, then 3 squares, and so on—would you suspect
that the monkey associates identically shaped figures?
Calculate the probability of this event. (Round your answer to six decimal places.)
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Let's calculate the probability.
It is the same as to ask: Having a set of 12 letters, three S (Squares), three R (Rectangles),
three T (Triangles) and three C (circles), what is probability, selecting the letters randomly, to get the word SSSRRRTTTCCC.
The answer is: P =  =  =  =  = 3.247E-05.
Try to find the pattern in the given formula. This pattern will explain you the logic behind this formula.
By knowing the logic, you may solve any problem of this kind on your own.
Solved.
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