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Unformatted text preview: Solutions to Quiz 3 A
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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 4 in ﬁve rolls of a single die?
Solution:
p(not rolling a 4 in ﬁve rolls ) = 1 − [p(not rolling a 4 in one roll )]5 = 1 − [ 5 ]5 ≈ .598
6
3. (1 pt) What is the probability of rolling either a 1 or 2 on a singe die?
Solution:
p(rolling a 1 or 2) = p(rolling a 1)+p(rolling a 2) = 1
6 + 1
6 = 1
3 4. (1 pt) Suppose you toss three coins. What is the probability of getting three tails?
Solution:
p(tossing 3 T)=p(tossing a T)*p(tossing a T)*p(tossing a T) = 1 1
2 ∗ 1
2 ∗ 1
2 = 1
8 ...
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This note was uploaded on 07/22/2011 for the course MGF 1107 taught by Professor Staff during the Spring '08 term at University of Florida.
 Spring '08
 Staff

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