Probability of Compound Events

Three cards are to be drawn without replacement from a standard 52 card deck. Choose the correct method of calculating the probability of drawing a 10, then a face card (J,Q,K), and then another 10.

• (4/52) X (12/52) X (4/52)

• (4/52) + (12/52) + (4/52)

• (4/52) X (12/51) X (3/50)

• (4/52) + (12/51) + (3/50)

One card is to be drawn from a standard 52 card deck. What is the probability of drawing a face card (J,Q,K) or a 6?

• 4/52

• 16/52

• 18/52

• 14/52

Assume that the probability of a newborn lion cub being female is 1/2. Choose the correct method for calculating the probability of a lioness having three cubs and all three being female.

• (1/2) X (1/4) X (1/8)

• (1/2) + (1/2) + (1/2)

• (1/2) X (1/2) X (1/2)

• (1/2) X 3

Assume that the probability of a newborn lion cub being female is 1/2. Choose the correct method for calculating the probability of a lioness having three cubs and all three being female or all three being male.

• (1/2) X (1/2) X (1/2) + (1/2) X (1/2) X (1/2) = 2/8

• (1/2) + (1/2) + (1/2) = 3/2

• (1/2) X (1/2) X (1/2) = 1/8

• (1/2) + (1/2) + (1/2) + (1/2) + (1/2) + (1/2) = 6/2

A single die is rolled. What is the probability of rolling and multiple of 2 or a multiple of 3?

• 1/6

• 3/6

• 4/6

• 5/6

One card is to be drawn from a standard 52 card deck. What is the probability of drawing a queen or a diamond?

• 15/52

• 16/52

• 17/52

• 9/52

CHOOSE THE CORRECT METHOD FOR CALCULATING THE PROBABILITY OF DRAWING THE INDICATED CARDS CONSECUTIVELY FROM A STANDARD 52 – CARD DECK OF CARDS IF EACH CARD THAT IS DRAWN IS NOT RETURNED TO THE DECK AFTER IT IS DRAWN.

A black card is drawn, and then a heart is drawn

• (26/52) x (13/52)

• (26/52) + (13/52)

• (26/52) x (13/51)

• (26/52) + (13/51)

CHOOSE THE CORRECT METHOD FOR CALCULATING THE PROBABILITY OF DRAWING THE INDICATED CARDS CONSECUTIVELY FROM A STANDARD 52 – CARD DECK OF CARDS IF EACH CARD THAT IS DRAWN IS NOT RETURNED TO THE DECK AFTER IT IS DRAWN.

An ace is drawn, then a king is drawn, then another ace is drawn

• (4/52) x (4/52) x (3/52)

• (4/52) x (4/51) x (4/50)

• (4/52) x (4/51) x (3/50)

• (4/52) + (4/51) + (3/50)

CHOOSE THE CORRECT PROBABILITY OR CORRECT METHOD FOR CALCULATING THE PROBABILITY OF THE INDICATED OUTCOME OCCURING WHEN TWO SIX SIDED DICE ARE ROLLED.

The sum of the two dice is 5

• 5/36

• 5/12

• 4/12

• 4/36

CHOOSE THE CORRECT PROBABILITY OR CORRECT METHOD FOR CALCULATING THE PROBABILITY OF THE INDICATED OUTCOME OCCURING WHEN TWO SIX SIDED DICE ARE ROLLED.

The sum of the two dice is 6 or 12

• 5/36 + 1/36

• 5/36 x 1/36

• 5/12 + 1/12

• 5/12 x 1/12