Question

question 6: standard s.cp.2
what are disjoint events?
a. events that cannot occur together
b. events that occur together
c. events that affect each other
d. events that mimic each other
question 7: standard s.cp.2
what is an overlapping event?
a. events that mimic each other
b. events that cannot occur together
c. events that can have the same outcome
d. mutually exclusive events
question 8: standard s.cp.2
what are independent events?
a. events that do not influence the outcome of one another
b. events that do not overlap
c. events that only occur once
d. events that never occur
question 9: standard s.cp.2
flipping a coin 2 times is an example of ____ events.
a. discrete
b. multiple
c. independent
d. dependent
question 10: standard s.cp.2
how would you read the following statement:
$p(c \cap d)$
a. probability of c and d occurring
b. probability of c without d
c. probability of d without c
d. probability of neither c or d

Explanation:

Question 6

Disjoint events are defined as events that cannot happen at the same time. Option a matches this definition. Option b is incorrect as it describes events that occur together. Option c is incorrect as disjoint events do not affect each other. Option d is incorrect as it's not about mimicking.

Overlapping events (or non - disjoint events) are events that can have the same outcome (i.e., they can occur together). Option a is incorrect (not about mimicking). Option b describes disjoint events. Option d, mutually exclusive events are disjoint events, so it's incorrect. Option c correctly describes overlapping events.

Independent events are events where the occurrence of one event does not influence the outcome of the other event. Option b describes disjoint events. Option c is incorrect (independent events can occur multiple times). Option d is incorrect (independent events can occur). Option a matches the definition.

Answer:

a. Events that cannot occur together

Question 7