Unformatted text preview: Solutions to Quiz 3 B
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February 27, 2007 1. (1 pt) What is the probability of not rolling a 4 with a fair die?
Solution:
p(not rolling a 4) = 1 − p(rolling a 4 ) = 1 − 1
6 = 5
6 2. (2 pt) What is the probability of getting at least one 2 in six rolls of a single die?
Solution:
p(not rolling a 2 in six rolls ) = 1 − [p(not rolling a 2 in one roll )]6 = 1 − [ 5 ]6 ≈ .665
6
3. (1 pt) What is the probability of rolling either a 2 or 3 or 4 on a singe die?
Solution:
p(rolling a 2 or 3 or 4) = p(rolling a 2)+p(rolling a 3)+p(rolling a 4) = 1
6 + 1
6 4. (1 pt) Suppose you toss two coins. What is the probability of getting two tails?
Solution:
p(tossing 2 T)=p(tossing a T)*p(tossing a T) = 1 1
2 ∗ 1
2 = 1
4 + 1
6 = 1
2 ...
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 Spring '08
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 Probability, Dice, Roll

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