NAME _____________________________________
QUIZ #5 (Probability: 3-2, 3-3, 3-4)
DIRECTIONS:
DATE: 4/ 6/20
(STA 100)
Answer all questions in the space provided. Be sure to show
ALL necessary work (or full credit cannot be obtained).
1. You are going to roll a pair of fair dice.
a) What is the probability of rolling a 4 on the first and an even number on the
second?
[1]
b) What is the probability of rolling a 4 on the first or an even number on the
second?
[1]
2. A random sample of musicians was asked how they learned to play their
instruments, the information obtained is depicted in the following table:
Gender
Male
Female
Total
How musicians learn to play instruments
Self-taught
Studied in School
Private Instruction
19
24
15
12
38
22
31
62
37
Estimate the probability, in simplest form, that a musician is:
a) Male
Total
58
72
130
[1]
b) Learned in school
[1]
c) Female and learned through private instruction
[1]
d) Male or self-taught
[2]
e) Studied in school given that the musician was male
[2]
f) Are the events “being a male musician” and “learning music through private
instruction” mutually exclusive events? Explain.
[1]
3. Events E and F are mutually exclusive events, P( E )  0.4 and P( F )  0.5 find:
a) P( E and F )
[1]
b) P( E or F )
[1]
c) P( E F )
[1]
d) P( F E )
[1]
4. Suppose the newspaper states that there is a 73% chance of rain. What is the
complement of the event “rain today”?
[1]
5. You have gone to the Humane Society to adopt a puppy. You would like a beagle or
cocker spaniel that is tan or multi-colored, and has either a white tail or a spotted
tail.
a) Using the fundamental counting principle, how many possible puppies fit your
criteria?
[1]
b) List the sample space or draw a tree diagram to illustrate the sample space.
[3]
c) What is the probability you end up getting a tan beagle with a spotted tail?
[1]