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# solQ3b - Solutions to Quiz 3 B www.math.uﬂ.edu/˜harringt...

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Unformatted text preview: Solutions to Quiz 3 B www.math.uﬂ.edu/˜harringt 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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