stats
(b) List an example of two events that are dependent. Choose the correct answer below.
Drawing one card from a standard deck, not replacing it, and then selecting another card
When you calculate the number of permutations of n distinct objects taken r at a time, what are you counting?
The number of ordered arrangements of n objects taken r at a time.
If two events are independent, P(A|B)equalsP(B).
False; if events A and B are independent, then P(A and B)equalsP(A) times P(B).
If you roll a six-sided die six times, you will roll an even number at least once.
False. If you roll a six-sided die six times, you will probably roll an even number at least once.
The probability of randomly choosing a tea drinker who has a college degree (Assume that you are choosing from the population of all tea drinkers.)
The probability of choosing a tea drinker who does not have a college degree
For the given pair of events, classify the two events as independent or dependent. Finding a leak in your kitchen sink Finding an oil leak in your car
The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other.
If two events are mutually exclusive, why is Upper P left parenthesis Upper A and Upper B right parenthesis equals 0?
Upper P left parenthesis Upper A and Upper B right parenthesis equals 0 because A and B cannot occur at the same time.
What is the difference between an outcome and an event?
An outcome is the result of a single probability experiment. An event is a set of one or more possible outcomes.
(a) List an example of two events that are independent. Choose the correct answer below.
Rolling a die twice
The probability that event A or event B will occur is Upper P left parenthesis Upper A or Upper B right parenthesis equals Upper P left parenthesis Upper A right parenthesis plus Upper P left parenthesis Upper B right parenthesis minus Upper P left parenthesis Upper A or Upper B right parenthesis.
False, the probability that A or B will occur is Upper P left parenthesis Upper A or Upper B right parenthesis equals Upper P left parenthesis Upper A right parenthesis plus Upper P left parenthesis Upper B right parenthesis minus Upper P left parenthesis Upper A and Upper B right parenthesis.
