Solve Probability Questions:

1. Of 25 people eating lunch in a restaurant, 10 are having pizza. Determine the empirical probability (educated guess) that the next person on the restaurant will have pizza for lunch.

1. I have a bag filled with 20 ping pong balls numbered 1-20. If one ball is picked at random from the bag, determine the probability that the number selected is:
   1. Less than 8
   2. Even
   3. Odd or less than 12
   4. 23 or 24

3.) Use the following frequency table to estimate the probabilities for each color and construct the probability model. A sample from 100 students were asked to name their favorite color.

Favorite color	Frequency
Red	30
Blue	25
Green	20
Black	10
Violet	10
Yellow	5

4.) Of the 20 fish Brent has caught at his favorite fishing spot this season, 5 have been trout and 7 have been bass. Find the following probabilities:

Catching a trout

Catching a bass

Catching a trout or a bass

Catching a fish that is not a trout

Catching a fish that is neither trout nor a bass

5.) The Nielsen Apps Playbook was a survey taken, of 3691 males and females on the use of social networking apps (mobile software applications). The results are shown in the following table.

Has downloaded a social networking app in the last 30 days
	Yes	No
Male	884	841
Female	1220	746

Find the probability that a randomly chosen person has the following characteristics.

Is female

Has downloaded a social networking app in the last 30 days

Is a female who has downloaded a social networking app in the last 30 days

Is a female or has downloaded a social networking app in the last 30 days

6.) A box contains four blue balls and three red balls. If we selected two balls at random, what is the probability that both balls will be blue if:

We sample with replacement.

We sample without replacement.

7.) An ice cream shop offers the following options to its customers. Use a tree diagram to list all the possible options that a customer may choose from.

Ice Cream	Toppings
Vanilla	Hot fudge
Chocolate	Butterscotch
Mint chocolate chip	Sprinkles

Find the following probabilities:

Getting vanilla ice cream with a hot fudge topping.

Getting strawberry ice cream with a butterscotch topping.

Getting ice cream without a hot fudge topping.

8.) A corporate sales executive has the choice of traveling to four of the following six countries this quarter: China, Russia, Germany, Brazil, India, and Nigeria. How many different routes are possible?

9.) Do the parts of the question using the following table:

	Republican	Democrat	Independent
Male	46	39	1
Female	5	9	0

The above data is from the 100 senators from the Congress of the United States

If we randomly select one Senator, what is the probability of getting a Republican given that a male was selected?

If we randomly select one Senator, what is the probability of getting a male given that a Republican was selected?

If we randomly select one Senator, what is the probability of getting a female, given that an Independent was selected?

If we randomly select one Senator, what is the probability of getting a female Republican?

If we randomly select one Senator what is the probability that the person is a female or a Democrat?