Practice Quiz 1: Probability Theory

The sample space is the set of all possible outcomes

True

A ? B is the event that A occurs and B occurs

True

If ?? = {?1,...,?17} and all outcomes are equally likely, then P(?1) = ��� = P(?17) = 1/17

True

Every outcome is an element of the sample space

True

A ? B is the event that A occurs or B occurs

True

Every event is a set of outcomes

True

If A is any event then 0 ? P(A) ? 1

True

If A is any event then P(AC) = 1?P(A)

True

If A and B are any two disjoint events, then P(A ? B) = 0

True

If A and B are any two disjoint events, then P(A ? B) = P(A) + P(B)

True

If A is any event, then P(A ? AC) = 0

True

If the sample space is finite or countable, then every subset of the sample space is an event

True

Every event is a subset of the sample space

True

AC is the event that A does not occur

True

P({}) = 0

True

If the sample space is finite or countable, then every set of outcomes is an event

True

If A is any event, then P(A ? AC) = 1

True

P(??) = 1

True

If A is any event then P(A) = 1?P(A^C)

True

If ?? = {?1,...,?17} then P(?1) + ��� + P(?17) = 1

True

Every element of the sample space is an outcome

True

P({}) = 1

False

A ? B is the event that A occurs and B occurs

False

Every outcome is a subset of the sample space

False

If A is any event then P(A) ? P(A^C)

False

If ?? = {?1,...,?17} then P(?1) = ��� = P(?17) = 1/17

False

A ? B is the event that A occurs or B occurs

False

If A is any event, then P(A ? AC) = 1

False

Every outcome is a set of events

False

If A is any event then P(AC) = ?P(A)

False

The sample space is the set of all possible events

False

If A is any event, then P(A ? AC) = 0

False

P(??) = 0

False

If the sample space is finite or countable, then every set of events is an outcome

False

If A is any event then P(A) = ?P(AC)

False

If ?? = {?1,...,?17} then P(?1) + ��� + P(?17) = 1/17

False

Every event is an element of the sample space

False

If A and B are any two disjoint events, then P(A ? B) = P(A) + P(B)

False

If A and B are any two events, then P(A ? B) = P(A) + P(B)

False

If the sample space is finite, then every element of the sample space is an event

False

If the sample space is finite or countable, then every subset of the sample space is an outcome

False