Mutually Exclusive Events Review

Events that can occur at the same time

Events that cannot occur at the same time

Events that are independent of each other

Events that are dependent on each other

Flipping a coin and getting heads or tails

Rolling a die and getting an even number or a number greater than 3

Drawing a card from a deck and getting a heart or a red card

1

0

$$P(A) + P(B)$$

$$P(A) \times P(B)$$

0.8

0.15

0.5

1.0

Two overlapping circles

Two separate circles

A circle within another circle

A single circle

0.24

0

1

0.6

$$P(A \cup B) = P(A) \times P(B)$$

$$P(A \cup B) = P(A) + P(B)$$

$$P(A \cap B) = P(A) + P(B)$$

$$P(A \cap B) = P(A) \times P(B)$$

Drawing a red card and drawing a king from a deck of cards

Rolling a die and getting a 2 or even number

Choosing a student who is a senior and a junior

$$P(A \cap B) = P(A) + P(B)$$

$$P(A \cap B) = 0$$

$$P(A \cup B) = 0$$

$$P(A \cup B) = P(A) \times P(B)$$

Drawing a heart or a 2 from a deck of cards

Rolling a die and getting a 3 or a 4

Flipping a coin and getting heads or tails

Choosing a student who is both a boy and a freshman