(a) What is the probability that a 8-card hand has at least one 4 of a kind? (b)
ID: 2984682 • Letter: #
Question
(a) What is the probability that a 8-card hand has at least one 4 of a kind?
(b) How many arrangements are there of a, a, a, b, b, b, c, c, c without three consecutive letters the same?
(c) How many ways are there to roll 9 distinct 6-sided dice so that all 6 faces appear?
(d) How many ways are there to distribute 24 identical balls into six distinct boxes with at most 6 balls in any of the first three boxes?
(e) How many ways are there for a child to take 11 pieces of candy with four types of candy if the child does not take exactly two pieces of any type of candy?
(f) Suppose there are 10 distinct hats. Two of the hats are green, two are blue, two are red, two are brown, and two are black. How many ways are there for five people to each choose two of the hats with no person getting two hats of the same color?
Explanation / Answer
a) 13*48C4 - 6 / 52C8 = 0.00336
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