7 Counting and Probability Answer the following questions about counting and probability. You may leave answers in the form of exponents, fractions and factorials, but not combinations or permutations. Show your work. a) Consider rolling two fair 6-sided dice. What is the conditional probability that the sum of the two dice is at least 8 given the first dice is at most 4? b) How many ways can you order 6 donuts from a shop that has 4 types {A, B,C, D} if you can only order at most 3 donuts of type A.
7 Counting and Probability Answer the following questions about counting and probability. You may leave answers in the form of exponents, fractions and factorials, but not combinations or permutations. Show your work. a) Consider rolling two fair 6-sided dice. What is the conditional probability that the sum of the two dice is at least 8 given the first dice is at most 4? b) How many ways can you order 6 donuts from a shop that has 4 types {A, B,C, D} if you can only order at most 3 donuts of type A.
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ISBN:9780470458365
Author:Erwin Kreyszig
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Counting and Probability
Answer the following questions about counting and probability. You may leave answers in
the form of exponents, fractions and factorials, but not combinations or permutations.
Show your work.
a) Consider rolling two fair 6-sided dice. What is the conditional probability that the
sum of the two dice is at least 8 given the first dice is at most 4?
b) How many ways can you order 6 donuts from a shop that has 4 types {A, B,C, D} if
you can only order at most 3 donuts of type A.
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