Probability-Sample Space, theory of counting, ,two way tables

The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?

• 4 x 4 x 4 x 4 = 256

• 4 x 3 x 2 x 1 = 24

• 4 + 4 + 4 + 4 = 16

• 4 + 3 + 2 + 1 = 10

In how many ways can the first five letters of the alphabet be arranged if each letter is used only once?

• 5 x 4 x 3 x 2 x 1 = 120

• 5 x 5 x 5 x 5 x 5 = 3125

• 26 x 26 x 26 x 26 x 26 = 11881376

• 5 + 5 + 5 + 5 + 5 = 25

In how many different ways can 4 different books be arranged on the shelf?

• 4 x 3 x 2 x 1 = 24

• 4 x 4 x 4 x 4 = 256

• 4 + 3 + 2 + 1 = 10

• 4 + 4 + 4 + 4 = 16

A tree diagram is useful in determining the __________of a probability experiment.

• result

• possible outcomes

• event

• none of the above

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

• 1/4

• 1/2

• 2/4

• 3/4

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?

• 1/2

• 1/4

• 3/4

• 1/3

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6
• 12
• 24
• 36

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?

• ³/₁₂
• ¹/₂
• ⁴/₁₂
• ⁰/₁₂

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a less than 6 and flipping a head?

• ²/₁₂
• ³/₁₂
• ⁴/₁₂
• ⁵/₁₂

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

• TW, CW, PW
• TW, TM, TC, CW, PW
• TW, TM, CW, CM, PW, PM
• TCP, MW