probability
ABRAHAMLINCOLN
HW-6-Probability.docxDiscrete Structure
Probability Assignment
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Basic Probability Questions
State Space: A Penny, a Dime and a single Die are going to be tossed.
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Q1. What is the Probability that Two Heads and an Odd Number will occur? |
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Q2. What is the Probability that a Tail and a Head and a Number greater than 3 will occur? |
State Space: A desk of cards has 20 cards in it, numbered 1 through 20.
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Q3. What is the Probability that a single card, drawn at random, over 13 will occur? |
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Q4. What is the Probability that two cards, drawn at random, will add up to 11 will occur? |
State Space: A box contains two white socks, two black socks and two brown socks.
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Q5. What is the Probability that two socks, drawn at random, will match? |
State Space: A group consists of 120 students. Of these, 60 are studying French, 50 are studying Spanish and 20 are studying French and Spanish. A student is selected at random.
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Q6. What is the Probability that the student is studying French or Spanish? |
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Q7. What is the Probability that the student is studying only French? |
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Q8. What is the Probability that the student is studying neither French nor Spanish? |
Conditional Probability Questions
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Q9. What is the Probability ?
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Q10. What is the Probability ?
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Q11. What is the Probability ?
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Q12. What is the Probability ?
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Q13) State Space: A class of 30 students were surveyed about a certain Math Class. Survey results were as follows:
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(a grade of passing is at least a D) |
Homework is Too Easy |
Homework is Just Right |
Homework is Too Hard |
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Students Getting at least a B |
2 |
4 |
1 |
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Students Getting a C or a D |
6 |
10 |
2 |
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Students Failing |
1 |
1 |
3 |
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a. What is the Probability that a student, who is passing, thinks that the Homework is Just Right ? |
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b. What is the Probability that a student, who is not getting an A or a B, thinks that the Homework is Too Hard? |
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c. What is the Probability that a student, who thinks that the Homework is Too Hard, is passing the class? |
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d. What is the Probability that a student, who thinks that the Homework is Too Easy, is not failing the class? |
Applications of Probability
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Q14. What is the probability that A will occur precisely six times? |
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Q15. What is the probability that B will occur at least three times? |
(
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1
4
B
P
=
(
)
1
2
AB
P
È=
(
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A|B
P
(
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B|A
P
(
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A0.3
P
=
(
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B0.4
P
=
1
3
(
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1
3
A
P
=
