Algebra II Name_________________________
Lesson 9-7 Probability of Multiple Events Date_________________Hour_____
HW #2
Classify each pair of events as dependent or independent.
1.
A month is selected at random; a number from 1 to 30 is selected at random.
2.
A month is selected at random; a day from that month is selected at random.
3.
A letter of the alphabet is selected at random; one of the remaining letters is selected at random.
4.
The color of a car is selected at random; the type of transmission is selected at random.
Q and R are independent events. Find P(Q and R).
5.
𝑃(𝑄) =
1
4
,
𝑃(𝑅) =
2
3
6.
𝑃(𝑄) = 0.6
,
𝑃(𝑅) = 0.9
7.
Suppose you have 6 books in your bag. There are 3 novels, two is a biographies, and one is a poetry book. Today, you grab one book out of your bag and return it to the bag later.
Tomorrow you do the same thing. a) What is the probability that you grab a novel both days? P(novel and novel) b) What is the probability you grab a biography and a poetry book?

Two standard number cubes are tossed. State whether the events are mutually exclusive.
Explain your reasoning.
8.The numbers are equal; the sum is odd.
9.
The sum is a prime number; the sum is less than 4.
10.
About 30% of the U.S. population is under 20 years old. About 17% of the population is over
60. What is the probability that a person chosen at random is under 20 or over 60?
S and T are mutually exclusive events. Find P(S or T).
11.
𝑃(𝑆) =
3
5
,
𝑃(𝑇) =
1
3
12.
𝑃(𝑆) =
1
7
,
𝑃(𝑇) = 60%
A standard number cube is tossed. Find each probability. SHOW WORK!!!!
13.
𝑃(4 𝑜𝑟 𝑒𝑣𝑒𝑛)
14.
𝑃(𝑜𝑑𝑑 𝑜𝑟 𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 2)
15.
𝑃(𝑒𝑣𝑒𝑛 𝑜𝑟 𝑝𝑟𝑖𝑚𝑒)
16.
𝑃(𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 1 𝑜𝑟 𝑙𝑒𝑠𝑠 𝑡ℎ𝑎𝑛 5)

C and D are not mutually exclusive events. Find each missing probability in the table.
P(C) P(D) P(C and D) P(C or D)
4
9
1
2
2
3
4
9
1
3
3
5
1
4
5
9
13
15
3
7
1
4
1
8
The graph shows the types of jobs held by people in the United
States. Find each probability.
17.
A person is in a service occupation.
18.
A person is not in farming, fishing, or forestry.
19.
A person is neither in service nor support
.
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. SHOW YOUR WORK!!!!!
20.
You select a red marble and then a blue. 21. Both of the marbles you select are red.

H and J are not mutually exclusive events. Complete the table to find each missing probability.
P(H) P(J) P(H and J) P(H or J)
7
11
1
2
4
11
1
4
9
11
2
3
2
5
1
5
2
3
2 𝑥
3
2𝑥
1 𝑥
A multi-choice test has 4 choices for each answer.
22.
What is the probability that a random guess on a question will yield the correct answer?
23.
Suppose you need to make a random guess on 3 of the 10 test questions. What is the probability that you will answer all 3 correctly?
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.
24.
You select a red marble and then a blue.
25.
Both of the marbles you select are red.