Algebra 1
Probability WS 5
Name: _________________
Date _______ Period ______
1. There are six books on the floor. How many possible ways can they be arranged on a shelf?
2.
a) How many different ways can the nine starting players on a baseball team be introduced?
b) How many ways can this be done if the pitcher is always last?
3. How many different ways can the 5-player starting line up of a basketball team be arranged if there
are 12 players on the team?
4.
a) There are 6 people waiting for a bus. In how many different orders can the 6 people get on the bus?
b) What is the probability that they will get on the bus in order of youngest to oldest?
5.
a) How many different seven digit phone numbers are there?
b) How many are there if none of them start with 0?
6. There are eight people in a race. First, second and third place trophies will be awarded. How many
different groups of first, second and third place winners could there be?
7. Currently we have three area codes in the state (503, 541, and 971). How many phone numbers does
that let us have?
8. How many three digit numbers are even? (Hint: How many different digits may be used in the
hundred’s place, the ten’s place and the one’s place?)
9.
a) How many three-letter arrangements can be made from letters in the word PRICES?
b) How many four letter arrangements?
c) How many five letter arrangements?
10. A family has three children.
a) How many different combinations of genders are there if a family?
b) What is the probability of all boys? All girls?
11. The Oregon Lottery has a game called pick four. You chose four numbers, all of which are one
digit.
a) How many possible outcomes are there?
b) How many outcomes would there be if the numbers were allowed to repeat?
12. Megabucks chooses six numbers from 0 – 99.
a) How many different outcomes are there?
b) What is the probability of winning if you hold one ticket?
13. There are spaces for 10 bikes in the rack by the front door. One after noon 15 people who rode
bikes were there at the same time. How many ways can the bikes be arranged in the rack?