Mutually Exclusive Events Analysis

Front

What is a mutually exclusive event?

Back

Two events are mutually exclusive if they cannot occur at the same time. For example, when flipping a coin, getting heads and tails are mutually exclusive events.

Tags

CCSS.HSS.CP.A.1

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Tags

CCSS.7.SP.C.5

Front

If P(A) = 1/4, what is the probability of the complementary event P(A')?

Back

P(A') = 1 - P(A) = 1 - 1/4 = 3/4.

Front

What is a sample space in probability?

Back

The sample space is the set of all possible outcomes of a probability experiment. For example, when rolling a die, the sample space is {1, 2, 3, 4, 5, 6}.

Front

Are the events 'rolling a 2' and 'rolling a 5' on a die mutually exclusive?

Back

Yes, they are mutually exclusive because both events cannot happen at the same time.

Tags

CCSS.HSS.CP.A.1

Front

What does it mean if two events are not mutually exclusive?

Back

If two events are not mutually exclusive, it means they can occur at the same time. For example, drawing a card that is both a heart and a face card.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the probability of rolling an even number on a die?

Back

The probability of rolling an even number (2, 4, or 6) is P(even) = 3/6 = 1/2.

Tags

CCSS.7.SP.C.7B

Front

If two events A and B are mutually exclusive, what is P(A and B)?

Back

P(A and B) = 0, because mutually exclusive events cannot occur together.

Tags

CCSS.HSS.CP.B.7

Front

What is the formula for calculating the probability of either event A or event B occurring?

Back

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive, then P(A and B) = 0.

Tags

CCSS.HSS.CP.B.7

Front

What is an example of a sample space for flipping two coins?

Back

The sample space for flipping two coins is {HH, HT, TH, TT}.