Question 1151958: A 20-sided icosahedron is thrown 6 times. It has 7 red, 3 blue, 2 purple, 2 brown, 2 black, 4 green faces. What is the probability that 5 red and 2 blue faces will appear? But what if all the faces have the same color?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website! .
As this problem is worded, printed, posted and presented,
its first question is between UNCLEAR, AMBIGUOUS and IMPOSSIBLE.
Its second question is between UNCLEAR and NON-SENSICAL.
Answer by greenestamps(13198)  (Show Source):
You can put this solution on YOUR website!
What a poorly presented problem!!!
(1) The probability the 6 throws will result in 5 red faces and 2 blue faces is obviously zero. You can't get 5+2=7 outcomes on 6 throws.
(2) The second question is not clear. But if you mean to ask what the probability is that you get 5 red and 2 blue faces if all 20 faces are the same color, then the probability is zero for two different reasons. You still can't get 7 outcomes on 6 throws; and if all the faces are the same color, then you can't get outcomes of two different colors.
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