1. if you roll a fair six-sided die, what is the probability of rolling a 4?
a. 0
b. 1/6
c. 1/3
d. 1/2
e. 1
2. which of the following represents the sample space for rolling a six-sided die and tossing a coin?
a. {1h, 2h, 3h, 4h, 5h, 6h, 1t, 2t, 3t, 4t, 5t, 6t}
b. {1, 2, 3, 4, 5, 6}
c. {h, t}
d. {1, 2, 3, 4, 5, 6, h, t}
3. given that you roll a fair six-sided die, what is the probability that you roll an odd number?
a. 0
b. 1/6
c. 1/3
d. 1/2
e. 1
4. if performances on ap tests are independent and the probability of passing ap is 0.3, then the probability of passing three ap tests is
a. 0.027
b. 0.090
c. 0.300
d. 0.900
e. 0.333
5. a local eye clinic has two doctors. dr. kutallot recommends glasses 60% of the time and corrective surgery 40% of the time. dr. lenzie recommends glasses 70% of the time and surgery 30% of the time. 60% of the patients are treated by dr. lenzie. no patients are treated by both doctors. if a patient is selected at random, what is the probability that surgery is recommended?
a. 18%
b. 34%
c. 35%
d. 58%
e. 70%
6. if p (a) = 0.2 and p (b) = 0.3 and a and b are independent but not necessarily disjoint, find p (a or b).
a. 0.06
b. 0.10
c. 0.44
d. 0.50
e. cannot be determined from the information given
7. all human blood is one of the four types: o, a, b, or ab. the distribution of the types varies a bit with race. if you choose and african american person at random, here is the table of the approximate probabilities of that person having each of the different blood types.
blood type o a b ab
probability 0.5 ? 0.2 0.05
using the table of probabilities above, the probability that the person chosen has blood type a is
a. 0.05
b. 0.25
c. 0.27
d. 0.40
e. 0.65
8. microsoft offers its employees one of the three pension plans, a, b, or c. past history shows that 70% of employees choose plan a, 20% choose plan b, and 10% choose plan c. also, 60% of those who choose plan c are married. if a married employee is selected at random, what is the probability the employee is in plan a?
a. 0.42
b. 0.43
c. 0.70
d. 0.81
e. 0.86