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Unformatted text preview: 0; if α = 1 / 4, the most likely number of heads is 0 or 1; if α ∈ (1 / 4 , 1 / 2), 1 the most likely number of heads is 1; if α = 1 / 2, the most likely number of heads is 1 or 2; if α ∈ (1 / 2 , 3 / 4), the most likely number of heads is 2; if α = 3 / 4, the most likely number of heads it 2 or 3; if α ∈ (3 / 4 , 1], the most likely number of heads it 3. 5.5 Solution. 12 identical jellybeans are distributed randomly to 5 students. The probability that each student gets at least one jellybean is ( 125+51 51 ) ( 12+51 51 ) . The probability that each student gets at least two jellybean is ( 125 × 2+51 51 ) ( 12+51 51 ) . 5.6 Solution. The probability in the general case that none of 10 DVDs you ﬁnally end up with are defective is ( 70+ k k ) ( 90 k ) . 2...
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 Fall '07
 Graham
 Probability, Harshad number, Jelly bean, heads, likely number

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