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Probability - CS208Week7(8.52 , divisibleby3 Answer...

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CS208 Week 7 - (8.5-2) In the experiment of rolling a die, what is the probability of rolling a number  divisible by 3? Answer: Since there are 6 numbers that can be rolled (1, 2, 3, 4, 5, 6), of which two  are divisible by 3 (3 and 6). Therefore, the probability of rolling a number divisible by three is 26 which can be reduced to  13 CS208 Week 7 - (8.4-2) How many distinct arrangements of the letters in “economic” are there? Answer: According to Theorem 8.7:  
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A distinct arrangement is a collection containing  n  objects of  k  different  types.  Objects of the same are indistinguishable, and objects of different  types are distinguishable. The formula for distinct arrangements is: ! !* !*⋯* ! n n1 n2 nk where  = , = , = n number of objects n1 objects of type 1 n2 objects of , type 2 and so forth The given word “economic” has 8 letters and they are broken down as  follows:
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