When pulling one card from a standard 52-card deck, let event A be the event of

Question

When pulling one card from a standard 52-card deck, let event A be the event of pulling a red card and event B be the the event of pulling a face card. Which of the following is true?

A.The two events are independent and disjoint.

B.The two events are dependent and joint.

C.The two events are dependent and disjoint.

D.The two events are independent and joint.

2.

For events A and B (not those listed above, just generally), match up the probabilities to their rankings below.

Hint: Consider a Venn diagram to help visualize.

The highest probability.

The second highest probability.

The lowest probability.

P(A or B)

P(A and B)

P(A)

A.The two events are independent and disjoint.

B.The two events are dependent and joint.

C.The two events are dependent and disjoint.

D.The two events are independent and joint.

2.

For events A and B (not those listed above, just generally), match up the probabilities to their rankings below.

Hint: Consider a Venn diagram to help visualize.

The highest probability.

  

The second highest probability.

The lowest probability.

A.

P(A or B)

B.

P(A and B)

C.

P(A)

Explanation / Answer

Events A and B are dependent and joint.

Probability of event A, P(A) = 26/52 = 0.5

jacks, queens, and kings are called "face cards" because the cards have pictures of their names. There are total 12 Face cards
Probability of event B, P(B) = 12/52 = 0.2308

P(A and B) = 6/52 = 0.1154

P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 0.2308 - 0.1154 = 0.6154

Highest Probability, P(A or B) = 0.6154
Second Highest, P(A) = 0.5
lowest, P(A and B) = 0.1154

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