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Sample Question from the Mathematics Knowledge Test:
Three coins are tossed up in the air. What is the probability that two of them
will land heads and one will land tails?
A. 0
B. 1/8
C. 1/4
D. 3/8
Let's look at a few different methods and steps to solving this problem.
1. Reduction and Division
Quickly eliminate the probabilities that you immediately know. You know to roll
all heads is a 1/8 probability, and to roll all tails is a 1/8 probability.
Since there are in total 8/8 probabilities, you can subtract those two out,
leaving you with 8/8 1/8 1/8 = 6/8. So after eliminating the possibilities
of getting all heads or all tails, you're left with 6/8 probability. Because
there are only three coins, all other combinations are going to involve one of
either head or tail, and two of the other. All other combinations will either
be 2 heads and 1 tail, or 2 tails and 1 head. Those remainin......
Word Count: 805
Page Count: 3.2 (250 words a page / double spaced)
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