Representing Sample Spaces for Compound Events Using Organized Lists, Tables, and Tree Diagrams

Lori passes 80% of her tests. In the next week, Lori has 4 tests. She wants to determine the probability that she passes all 4 of the tests. Which simulation design has an appropriate device and a correct trial?

• Roll a die letting 1-5 represent Lori passing a test and 6 represent Lori failing a test. Roll the die four

  times.

• Let Heads represent Lori passing a test and Tails represent Lori failing a test. Flip the coin four times.

• Using a random digits table select one digit numbers where 0-8 is a passing grade and 9 is a failing

  grade. Select four digits.

• Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin

  the spinner four times.

Jack tossed a coin three times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up?

• 
• 
• 
• 

A key ring has 12 keys, 3 of which open the house door. If two keys are randomly selected without replacement, what is the probability that neither key opens the door?

Which of the following shows how to determine P(diamond or face card)? Ν

• 13/52 + 12/52 - 3/52

• 3/52 + 13/52 -12/52

• 3/52 + 12/52 - 13/52

• 1/13 + 3/52 - 1/4

Answer explanation

Non Mutually Exclusive Probability

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Which of the following shows how to determine P(king or a red card)?

• 4/52 + 2/52 - 26/52

• 1/13 + 1/26 - 1/2

• 4/52 + 26/52 - 2/52

• 2/52 + 4/52 - 26/52

Use the table of probabilities to find P(D).

• 0.4

• 0.3

• 0.2

• 0.1

What number should go in the blue box?

• 21

• 135

• 19

• 22

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.1

CCSS.7.NS.A.2

CCSS.7.NS.A.3

What is the probability someone prefers fresh oranges?

• 80

Answer explanation

Where do fresh and oranges intersect?

Out of those surveyed, what is the probability that the student is a boy who can't bike to school ?

• 4/30

• 7/30

• 4/14

• 14/30

What is the probability that a small white t-shirt will be selected?

• 25/50

• 1/2

• 3/25

• 6/50

Tags

CCSS.8.SP.A.4