Exploring Mutually Exclusive Events in Probability

What is the probability of drawing the Ace of Hearts from a well-shuffled deck?

• 2/52

• 1/54

• 1/50

• 1/52

If you draw a card, what is the probability of it being either the Ace of Hearts or the King of Diamonds?

• 1/52

• 2/52

• 4/52

• 1/26

How many Aces are there in a standard deck of cards?

• 1

• 13

• 4

• 2

What is the probability of drawing a Heart from a deck?

• 1/52

• 13/52

• 4/52

• 12/52

When calculating the probability of drawing an Ace or a Heart, why must we adjust for the Ace of Hearts being counted twice?

• It is a King

• It is in both sets

• It is a Diamond

• It is not a card

What is the correct formula for the probability of A or B occurring?

• P(A) - P(B)

• P(A) + P(B) - P(A and B)

• P(A) * P(B)

• P(A) + P(B)

What is the probability of drawing either an Ace or a Heart?

• 14/52

• 15/52

• 17/52

• 16/52

In a Venn diagram, what does the overlapping area represent?

• The intersection of two sets

• Non-overlapping events

• The union of all sets

• Mutually exclusive events

Why is the probability of drawing an Ace or a Heart not simply the sum of their individual probabilities?

• Because of the overlap of the Ace of Hearts

• Because Aces are special cards

• Because Hearts are not counted

• Because the deck is incomplete

What does it mean if two events are mutually exclusive?

• They have no common outcomes

• They always occur together

• They are unrelated

• They cannot occur at the same time