3.2
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.
When an event is almost certain to happen, its complement will be an unusual event.
True, the complement would be an unusual event.
You toss a fair coin nine times and it lands tails up each time. The probability it will land heads up on the tenth flip is greater than 0.5.
The statement is false. The correct statement is "You toss a fair coin nine times and it lands tails up each time. The probability it will land heads up on the tenth flip is exactly 0.5."
What is the difference between independent and dependent events?
Two events are independent when the occurrence of one event does not affect the probability of the occurrence of the other event. Two events are dependent when the occurrence of one event affects the probability of the occurrence of the other event.
Determine which numbers could not be used to represent the probability of an event.
1.5, because probability values cannot be less than 0.
Determine whether the following statement is true or false. If it is false, rewrite it as a true statement. If two events are independent, P(A|B)=P(B).
False; if events A and B are independent, then P(A and B)=P(A)timesP(B). This is the correct answer.
(a) List an example of two events that are independent. Choose the correct answer below.
Rolling a die twice
Explain how the complement can be used to find the probability of getting at least one item of a particular type.
The complement of "at least one" is "none." So, the probability of getting at least one item is equal to 1-P(none of the items).
The probability of rain tomorrow is 160%
The probability of an event cannot exceed 100%.
(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
Select the three formulas that can be used to describe complementary events.
P(E)=1-P(E')
What does the notation P(B|A) mean?
The probability of event B occurring, given that event A has occurred
You toss a coin and roll a die. The event "tossing tails and rolling a 1 or 2" is a simple event.
False, the event is not simple because it consists of two possible outcomes.