Word Problems
A bag contains 2 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?
1/4
Evaluate the expression.
4!
24
What is the probability of an event that is CERTAIN to occur
1
True or False
"you should only count overlapping events once"
False
If the outcome of one event somehow affects the probability of a second event, the events are said to be:
dependent
A spinner has equal regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?
1/3
When 100 engines are shipped, all of them are free of defects.
What is the complement of the given event?
At least one of the engines is defective.
The probability that an event will occur is 0.1. What is the probability that the event will not occur?
.99
On a multiple-choice test with four possible answers for each question, what is the probability of answering a question correctly if you make a random guess?
1/4 or .25 or 25%
A: Meet a man with an umbrella
B: Meet a man with a raincoat.
Are these events disjointed, Yes or No
No, events A and B are disjoint (or mutually exclusive) if they cannot occur simultaneously.
The library is to be given 3 books as a gift. The books will be selected from a list of 16 titles. If each book selected must have a different title, how many possible selections are there?
560
Evaluate the expression.
10P5
30,240
"There is a 40% chance of rain tomorrow"
What is the indicated degree of likelihood as a probability value?
.40
An event combining two or more simple events is called
a compound event
A: A Chicagoan visits New York on vacation.
B: She visits Central Park.
Is Event B dependent or independent of Event A? (Does Event A affect the probability of Event B?)
Dependant
In a poll, respondents were asked whether they had ever been in a car accident. 138 respondents indicated that they had been in a car accident and 494 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth, if necessary.
0.218
Of ten adults, at least one of them has high blood pressure.
What is the complement of the given event?
None of the adults have high blood pressure.
A musician plans to perform 5 selections. In how many ways can she arrange the musical selections?
120, if the order matters to determine if you work a combination or permutation.
If you add the probabilities of complementary events, the answer should be equivalent to
1
A: Get a full-time day job as a teller with a bank.
B: Get a full-time day job as a cashier at a store.
Are these events disjointed, Yes or No
Yes, Pg 169. "Events A and B are disjoint (or mutually exclusive) if they cannot occur simultaneously"
A state lottery involves randomly selecting six different numbers between 1 and 25. If you select one six-number combination, what is the probability that it will be the winning combination?
1/177,100
Evaluate the expression.
11C4
330
A tourist in France wants to visit 12 different cities. How many different routes are possible?
479,001,600
A probability obtained with the additional information that some other event has already occurred is a:
conditional probability
If the outcome of one event somehow affects the probability of a second event, the events are said to be:
Dependant