Probability and Combinatorics Quiz

There is a 44% chance a person will order a large pizza. When a person orders a small pizza it takes more then 7 minutes 14% of the time and when a person orders a large pizza it takes less then 7 minutes 34% of the time. What is the probability a person who orders a small pizza waits 9 minutes?

• .2904

• .1496

• .0786

• .4816

How many different combinations can be made for a 4-letter password where the first letter can't be an A, C, D, E, X, Y, Z, the 2nd letter must be a Q, R, S or T. The last two letters can be any letter.

• 28928

• 51376

• 49400

• 115596

What does independence mean in probability?

• Two events cannot happen at the same time.

• The occurrence of one event does not affect the probability of the other.

• The probability of both events happening is zero.

• Both events have the same probability.

How many ways can you choose 3 people from a group of 9 when the order matters?

• 27

• 9!

• 504

• 84

A bag has 13 blue marbles, 15 yellow, 20 green, and 11 red. What is the probability of picking a yellow and green marble without replacement?

• .0861

• .1724

• .0877

• .1753

A bag has 13 blue marbles, 15 yellow, 20 green, and 11 red. What is the probability of picking two blue marbles at random with replacement?

• .0971

• .0485

• .0456

• .0912

A bag has 13 blue marbles, 15 yellow, 20 green, and 11 red. What is the probability of picking two red marbles at random without replacement?

• .0321

• .0643

• .0348

• .0695

How many different ways can 4 boys be picked from a group of 10 and 6 girls from a group of 11. The order matters for the boys and doesn't matter for the girls.

• 97020

• 1676505600

• 2328480

• 69854400

There is a 14% chance a team will score 0 goals, 20% chance a team will score 1 goal, 30% chance a team will score 2 goals. There is 36% the team will score 3 goals. What is the expected number of goals the team will score?

• 2.4

• 1.2

• 3

• 2.18

41% of people order ice cream and 36% of people order a brownie. 13% of people order both. What percent of people order neither?

• .36

• .1

• .64

• Can't be determined