Part 1: Main Ideas
Give the most specific/exact description for each term.
1. probability
2. event
3. sample space
4. mutually exclusive
5. independent events
6. dependent events
7. theoretical probability
8. law of large numbers
9. factorial
10. permutation
11. combination
12. Give the equations that represent each situation.
For Independent Events:
P(A ∩ B) = ____________________________________________________
P(A∪ B) = ____________________________________________________
For Mutually Exclusive Events:
P(A ∩ B) = ____________________________________________________
P(A ∪ B) = ____________________________________________________
For Dependent Events:
P(A ∩ B) = ____________________________________________________
P(A ∪ B) = ____________________________________________________
Use the equations above to find the missing probability.
13. Event A and Event B are independent
a) P(b)=1/2; p(A and B)=7/40;P(A)= ____________ b) P(A) = 0.5; P(A and B) = 0.25, P(A) = ____________
c) P(B) = 1/2; p(A) = 2/10; P(A and B) = _________; P(A or B) = __________
14. Event A and Event B are dependent.
a) P(B) = 7/10 ; p(A and B) = 21/200 ; P(B|A) = ____________ b) P(B|A) = 7/40;P(A and B) = 7/200 , P(B) = ____________
Part 2: Finding Probability
Find the probability (in fraction form) for each given situation.
15. A single die is rolled. What is the probability of rolling…
a) the number 4
b) an even number
c) a number greater than 2
16. Two dice are rolled at the same time. What is the chance of getting…
a) two even numbers
b) a sum of 12
c) a sum of 7
d) doubles
17. Flipping a quarter three times. What is the chance of getting (in order)
a) heads, tails, heads (HTH)
b) two heads in any order
c) tails all three times
Part 3: You Write
For each of the following, you need to come up with a problem that would be an example of the term(s) given. Note: if your
example is exactly the same as one we used in class or if an identical version is found online, you will not receive credit.
18. combination
19. mutually exclusive events
20. dependent events
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