Probability Quiz

Probability of simple events

A six-sided die is rolled twice.

The total number of outcomes and the probability of obtaining the (1, 5) are:

• 6 and 1/36

• 36 and 1/72

• 6 and 1/6

• 36 and 1/36

Probability of simple events

A six-sided die is rolled twice. The probability of getting a doublet P(double) is

• 3/6

• 6/72

• 1/6

• 1/18

Counting principle

Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different furniture combinations are possible?

• 18

• 135

• 200

• 180

Counting principle

The password for Andres's e-mail account consists of 5 characters using letters and numbers. How would you find the number of arrangements possible?

• Multiplying 26 (the number of letter in the alphabet) 5 times.

• The password consists of 5 characters so we have to do 26*25*24*23*22

• The password consists of 5 characters and we have 36 options by character. So we have to do 36*36*36*36*36

• The password consists of 5 characters and we have 36 options by character. So we have to do 36*35*34*33*32

Combinations and Permutations

Suppose we have a combination lock with buttons numbered 0 through 9. Combinations are entered by pressing buttons in sequence, with each button being pushed only once. How many possibilities would there be if each button could be pushed more than once?

• 6551

• 10000

• 126

• 3024

Tree Diagrams

An experiment consists in taking two marbles in a row from a bag without replacement. The tree diagram represents all the possible outcomes. What is the probability of picking a green marble the first time?

• 0.4

• 0.67

• 1/4

• 0.6

Tree Diagrams

An experiment consists in taking two marbles of different color in a row from a bag without replacement. The tree diagram represents all the possible outcomes. What is the probability of picking a red marble the first time and a green marble the second time?

• 1

• 0.132

• Not possible to calculate

• 0.268

Combinations and Permutations

You just got a free ticket for a boat ride, and you can bring along friends! Unfortunately, you have 15 friends who want to come along. If you want to know how many different groups of friends could you take with you, which of the following formulas would you use:

• 
• 
• 
• 

Tree Diagrams

Daniel wants to play a soccer match and a tennis match, one after the other. The probilities of him winning are found in the tree diagram. The probability of Daniel winning ONLY the first match is:

• 0.06

• 0.1

• 0.4

• 0.9