Probability of Compound Events - PRACTICE

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

Bobby is a taking a multiple - choice history test. He has decided to randomly guess on the first two questions. On each question there are 4 answer choices. Choose the correct method of calculating the probability of Bobby answering the first question correctly and then the second question incorrectly.

• (1/4) X (3/4)

• (1/4) + (3/4)

• (1/4) X (1/4)

• (4/4) X (0/4)

A basketball player has a 7/10 probability of making a 2 – point shot and a 2/10 probability of making a 3 – point shot. If he shoots a 2 – pointer and then a 3 – pointer, choose the correct method of calculating the probability of him making the 2 - pointer and then making the 3 - pointer.

• (7/10) X (2/9)

• (7/10) X (2/10)

• (7/10) + (2/10)

• (7/10) X (1/9)

A basketball player has a 7/10 probability of making a 2 – point shot and a 2/10 probability of making a 3 – point shot. If he shoots a 2 – pointer and then a 3 – pointer, choose the correct method of calculating the probability of him missing the 2 - pointer and then missing the 3 - pointer.

• (3/10) + (8/10)

• (3/10) X (8/9)

• (3/10) X (8/10)

• (3/10) X (7/9)

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

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

A coin is tossed and then the spinner is spun. Determine the probability that you get Heads and Red.

• 1/6
• 1/10
• 0
• 1/12

If you roll two fair six-sided dice, what is the probability that the dice show the same number?

• 1/6

• 1/36

• 1/12

• 1/9