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WorksheetsThe Probability of Multiple Events
Total questions: 35
Worksheet time: 2hrs 48mins
Name
Class
Date
1.
P(1 and A)
a)
1/16
b)
1/10
c)
4/16
d)
1/4
2.
P(odd and A)
a)
1/4
b)
1/2
c)
2/5
d)
1/8
3.
P(not chow mein)
a)
7/8
b)
1/8
c)
2/7
d)
5/6
4.
a)
7/24
b)
1/2
c)
1/24
d)
1/12
5.
a)
1/2
b)
1/8
c)
1/3
d)
1/12
6.
A coin is tossed and then the spinner is spun. Determine the probability that you get Heads and Red.
a)
1/6
b)
1/10
c)
0
d)
1/12
7.
P(4)*P(Tails)=
You flip a coin and roll a die. What is the probability that you flip a tails and roll a 4?
You flip a coin and roll a die. What is the probability that you flip a tails and roll a 4?
a)
3/15
b)
1/12
c)
2/3
d)
Susan
8.
Classify each pair of events as dependent or independent.
Roll a number cube. Then toss a coin.
Roll a number cube. Then toss a coin.
a)
Independent
b)
Dependent
9.
Suppose you have five books in your book bag. Three are novels, one is a biography, and one is a poetry book. Today you grab one book out of your bag without looking, and return it later. Tomorrow you do the same thing. What is the probability that you grab a novel both days?
a)
3/5
b)
6/10
c)
6/25
d)
9/25
10.
If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?
a)
2/52
b)
4/52
c)
16/52
d)
26/52
11.
If you draw one card from a standard deck, what is the probability of drawing a spade or a red card? Are the events inclusive or mutually exclusive?
a)
Inclusive
b)
Mutually exclusive
12.
If you roll one die, what is the probability of getting an odd number or a 4? Are the events inclusive or mutually exclusive?
a)
Inclusive
b)
Mutually exclusive
c)
1/2
d)
1/6
13.
If you roll one die, what is the probability of getting an odd number or a 4?
a)
2/3
b)
1/3
c)
1/2
d)
1/6
14.
If you roll one die, what is the probability of getting an even number or a multiple of 3? Are the events inclusive or mutually exclusive?
a)
Inclusive
b)
Mutually exclusive
c)
1/2
d)
1/6
15.
If you roll one die, what is the probability of getting an even number or a multiple of 3?
a)
1/3
b)
2/3
c)
1/2
d)
1/6
16.
How many face cards in a standard deck of cards?
a)
3
b)
12
c)
13
d)
52
17.
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble? Do you add or multiply probabilities?
a)
Add
b)
Multiply
18.
In how many ways can 3 different vases be arranged on a tray?
a)
3
b)
9
c)
6
d)
12
19.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
20.
How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?
a)
11,424,400
b)
10,967,424
c)
9000
d)
90,000
21.
There are 6 roads from Ponder to Justin, 2 roads from Justin to Halslet, and 3 roads from Haslet to Saginaw. How many possible routes are there from Ponder to Saginaw using only these roads and no backtracking?
a)
12
b)
11
c)
18
d)
36
22.
Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?
a)
23
b)
840
c)
42
d)
3,628,800
23.
A team of 17 volleyball players needs to choose three players to refill the water cooler. How many different ways can the players be chosen?
a)
3360
b)
560
c)
4080
d)
680
24.
Picking a team of three people out of a group of 10.
a)
Permutation
b)
Combination
c)
Neither
25.
Choosing 3 toppings for your sundae out of a list of 15.
a)
Permutation
b)
Combination
c)
Neither
26.
Picking a President, Vice-President, and Secretary from a group of 12.
a)
Permutation
b)
Combination
c)
Neither
27.
How many ways can a president, vice president, and treasurer be elected from a group of 40 students?
a)
120
b)
59,280
c)
9,880
d)
2,354
28.
Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?
application to art school. If she has 25 to choose from, how many ways can she pick 4?
a)
12,650
b)
303,600
c)
100
d)
254
29.
20C18
a)
0
b)
1
c)
190
d)
1140
30.
12P4
a)
24
b)
132
c)
1320
d)
11880
31.
Permutation, combination or neither:
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.
a)
combination
b)
permutation
c)
neither
32.
Permutation, combination or neither:
The batting order for seven players on a 12 person team.
The batting order for seven players on a 12 person team.
a)
combination
b)
permutation
c)
neither
33.
Permutation, combination, or neither:
There are 45 applicants for three Computer Programmer positions.
There are 45 applicants for three Computer Programmer positions.
a)
combination
b)
permutation
c)
neither
34.
How many Outcomes?
Choosing from 3 sizes of bottled water and from distilled, filtered, or spring water.
Choosing from 3 sizes of bottled water and from distilled, filtered, or spring water.
a)
6
b)
9
c)
2
d)
12
35.
Which of the following is an example of combination?
a)
Form a passcode with 4 digits
b)
Students line up in a queue to assembly
c)
Choose 4 students in a class committee
d)
Choose the chairperson, secretary and treasurer in a club
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