stats ch 4
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a diamond and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places.
(13/52)(13/51)=13/204
Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a diamond, the second card will be a red card, and the third card will be a queen? Express your answer as a fraction or a decimal number rounded to four decimal places.
1/104
Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a spade, the second card will be a red card, and the third card will be a queen? Express your answer as a fraction or a decimal number rounded to four decimal places.
1/104
A person rolls a standard six-sided die 12 times. In how many ways can he get 6 fours, 5 ones, and 1 two?
12!/6!5!1!
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a diamond and then, without replacement, a club? Express your answer as a fraction or a decimal number rounded to four decimal places.
13/204
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a club for the second card drawn, if the first card, drawn without replacement, was a spade? Express your answer as a fraction or a decimal number rounded to four decimal places.
13/51
Find the number of outcomes in the complement of the given event. Out of 329 shoes in a department store, 184 are women's shoes.
329-184=145
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 5 types of drinks to choose from, 4 types of sandwiches, and 4 types of chips. How many different value meal packages are possible?
80
probability experiment
Any process in which the result is random in nature is called a(n)
Mutually Exclusive
Events that cannot occur at the same time.
Decide if the following probability is classical, empirical, or subjective. You believe you have a 1/13 chance of drawing a 4 from a standard deck of cards.
classical probability
Selecting a 55 from a standard deck of cards.
classical probability
Determine whether the following events are mutually exclusive. Choosing a red card or a club out of a standard deck of cards.
mutually exclusive
Determine whether the following events are mutually exclusive. Choosing a student who is a physics major or a chemistry major from a nearby university to participate in a research study. (Assume that each student only has one major.)
mutually exclusive
nC1
n
Determine whether the following events are mutually exclusive. Choosing a jack or a club out of a standard deck of cards.
not m.e.
Choosing a queen or a black card out of a standard deck of cards.
not mutually exclusive
independent
one event happening does not influence the probability of the other event happening
dependent
one event that influences the probability of the other event happening
Decide if the following probability is classical, empirical, or subjective. You guess that there is a 35% chance that you will be assigned homework in your Spanish class on Friday.
subjective probability
experimental probability
uses the outcomes obtained by repeatedly performing an experiment to calculate the probability.
A box contains 17 green marbles and 11 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble? Express your answer as a fraction or a decimal number rounded to four decimal places.
10/27
You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 5 different TVs, 6 types of surround sound systems, and 10 types of DVD players. How many different home theater systems can you build?
300
Conditional Probability
denoted P(F|E)PF|E and read "the probability of F given E," is the probability of event F occurring given that event E occurs first.
Forgetting to set your alarm. Being late to class.
dependent
subjective probability
educated guess regarding the chance that an event will occur
You calculate that the probability of randomly choosing a student who is living in the dorms is about 39%
empirical probability
You calculate that the probability of randomly choosing a student who is right-handed is about 23%
empirical probability
Jeff makes it to work on time. Rebecca watches the evening news.
independent
Classical Probability
is the most precise type of probability and can only be calculated when all possible outcomes in the sample space are known and equally likely to occur
Choosing a heart or a black card out of a standard deck of cards.
mutually exclusive
Choosing a student who is a freshman or a philosophy major from a nearby university to participate in a research study.
mutually exclusive
