3.1
Determine how many outcomes there are:
Tossing a coin and rolling a six-sided die
12
State independent or dependent:
Tossing a coin four times, getting four heads, and tossing it a fifth time and getting a head.
Independent
Determine if its mutually exclusive or not:
Event A: Randomly select a red jelly bean from a jar.
Event B: Randomly select a yellow jelly bean from the same jar.
Mutually Exclusive
Calculate:
11 P 2
110
A security code consists of three letters from A, B, C, D, E, or F. What's the probability of choosing the code on the first try?
0.0083
Find the probability of choosing a month that begins with the letter J.
3/12 = 1/4
State independent or dependent:
Selecting an ace from a standard deck of cards, and then selecting a jack from the deck without replacing the ace.
Dependent
Determine if its mutually exclusive or not:
Event A: A person who loves cats
Event B: A person who owns a dog.
Not mutually exclusive
Calculate:
(5 C 3) / (10 C 3)
0.083
How many ways can the word Underhill be written distinguishly?
181,440
Classify the statement as classical, empirical, subjective:
On the basis of prior counts, a quality control officer says there is a 0.05 probability that a randomly chosen part is defective.
Empirical
State independent or dependent:
Taking a driver's education course and passing the driver's license exam.
Dependent
Find the probability:
Choosing a card from a standard deck that is red or a queen
0.538
Fifteen cyclists enter a race. How many ways can the cyclists finish?
1.3 E 12
In the classroom, 7 students prefer vanilla and 10 students prefer chocolate.
What's the probability of picking 4 students who prefer vanilla?
0.015
0.258
Find the probability that a student took the exam for the first time, given that the student failed.
0.555
Find the probability:
A 12-sided die is rolled. You land on an odd number or a number less than 4.
0.583
Fifteen cyclists enter a race. How many ways can the cyclists finish first, second, and third?
2730
In the classroom, 7 students prefer vanilla and 10 students prefer chocolate.
What's the probability of picking 4 students who prefer chocolate?
0.088
Find the probability that a randomly selected degree will not be in heal professions or social sciences/history.
0.805
Find the probability that a student passed, given that the student repeated the exam.
0.379
Find the probability:
Choosing a card from a standard deck that is a spade or face card.
0.423
An employer must hire 2 people from a list of 13 applicants. In how many ways can the employer choose to hire the 2 people?
78
In the classroom, 7 students prefer vanilla and 10 students prefer chocolate.
What's the probability of picking 1 student who prefers vanilla and 3 students that prefer chocolate?
0.353