9.7 Probability of Multiple Events Worksheet

9.7 Probability of Multiple Events
Name:
C and D are not mutually exclusive events. Copy and complete the table below to find each missing probability
26.
27.
28.
29.
30. Suppose a number from 1 to 100 is selected at random. What is the probability that a multiple of 4 or 5 is chosen?
A.
1
20
B. 0.36
C.
2
5
D. 45%
The graph at the right shows the types of jobs held by people in the United States. Find each probability.
31. A person is in a service occupation.
32. A person is in service or sales.
33. A person is not in production or transportation
34. A person is neither in sales nor in service, nor in managerial
nor professional occupations.
35. A person is neither in service nor in sales.
A jar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it.
Then you choose a second marble. Find the probability of each event.
36. You select a blue marble and then a red marble.
37. You select a red marble and then a blue marble.
38. One of the marbles you select is blue and the other is red.
39. Both marbles you select are red.
40. You select two red marbles or two blue marbles.
H and J are not mutually exclusive events. Copy and complete the table below to find each missing probability.
41.
42.
43.
44.
45. A multiple-choice test has four choices for each answer.
a. What is the probability that a random guess on a question will yield a correct answer?
b. Suppose you need to make a random guess on three of the ten test questions. What is the probability that you
will answer all three correctly?
Use the table below for Exercises 48-50. One student from each school is chosen at random to be on a committee.
Find each probability.
48. a junior from School A and a senior from School B
49. two juniors
50. a freshman or sophomore from School A and a senior from School B