The Basic Counting Principal, Probability and Odds

Question 1

Evaluate 8!

Accepted Answer

40,320

Question 2

Why is the following statement incorrect? The probability of rain tomorrow is 150%

Accepted Answer

The probability of an event cannot exceed 100%

Question 3

How many ways can a family with 3 children have 2 boys?

Accepted Answer

3

Question 4

How many ways can I choose 3 students from a group of 4 students? (order chosen doesn't matter)

Accepted Answer

4

Question 5

Dan needs a corsage. He can choose from 3 colors, 5 styles, and 4 ribbons. How many choices?

Accepted Answer

60

Question 6

Determine the number of outcomes in the sample space: Tossing three coins

Accepted Answer

8

Question 7

Find the probability of not rolling a number less than 6 and the spinner landing on yellow

Accepted Answer

1/6 and 1/4

Question 8

How many ways can I arrange 5 books on a shelf? (yes order matters!)

Accepted Answer

120

Question 9

There are 8 algebra and 5 geometry teachers. How many ways can you pick one teacher from each?

Accepted Answer

40

Question 10

Determine the number of outcomes in the sample space: Rolling a pair of six-sided dice

Accepted Answer

36

Question 11

Determine the number of outcomes in rolling two 6 sided dice and getting a sum of 4 or 5.

Accepted Answer

7

Question 12

A point on the segment is chosen at random. What is the probability it is between 95 and 96?

Accepted Answer

1/3

Question 13

What is the probability of getting doubles when rolling 2 dice?

Accepted Answer

1/6

Question 14

Determine the probability when choosing a random month of the year that it starts with a J.

Accepted Answer

1/4

Question 15

Evaluate 4C2

Accepted Answer

6

Question 16

Find the probabilities of rolling an odd number and the spinner landing on green

Accepted Answer

1/2 and 1/4

Question 17

Evaluate 4P2

Accepted Answer

12

Question 18

Four kids are out trick or treating. How many different orders can they line up to get candy?

Accepted Answer

24

Questions 18