WorksheetsProbability-Sample Space, theory of counting, ,two way tables
Total questions: 20
Worksheet time: 20mins
The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?
4 x 4 x 4 x 4 = 256
4 x 3 x 2 x 1 = 24
4 + 4 + 4 + 4 = 16
4 + 3 + 2 + 1 = 10
In how many ways can the first five letters of the alphabet be arranged if each letter is used only once?
5 x 4 x 3 x 2 x 1 = 120
5 x 5 x 5 x 5 x 5 = 3125
26 x 26 x 26 x 26 x 26 = 11881376
5 + 5 + 5 + 5 + 5 = 25
In how many different ways can 4 different books be arranged on the shelf?
4 x 3 x 2 x 1 = 24
4 x 4 x 4 x 4 = 256
4 + 3 + 2 + 1 = 10
4 + 4 + 4 + 4 = 16
A tree diagram is useful in determining the __________of a probability experiment.
result
possible outcomes
event
none of the above
Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?
1/4
1/2
2/4
3/4
Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?
1/2
1/4
3/4
1/3
How many total outcomes are there?
What is the probability of rolling an even number and flipping a head?
What is the probability of rolling a less than 6 and flipping a head?
What is the probability that you will get plain crust with ham on your pizza?
1/8
1/2
1/10
2/10
What is sample space?
a process with an uncertain result
a possible result of an action
a list of all possible outcomes of an event
a single outcome or group of outcomes
The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.
1) What is the probability a randomly selected student got an A or B for the semester?
15/100
20/100
35/100
65/100
The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.
2) What is the probability a randomly selected student is male?
12/100
17/100
44/100
56/100
The make-up of employees at a police station is shown in the table above:
6) What is the probability that a randomly selected employee is a chief?
1/100
2/100
1/33
1/67
The make-up of employees at a police station is shown in the table above:
7) What is the probability that a randomly selected employee is male and a sergeant?
8/13
8/33
8/67
8/100
