E - 49 Part IV & Game

Part I.

19. What is the probability of winning a raffle if 500 tickets are sold and you buy 5 of them?

possible outcome / total possible outcome
5 tickets / 500 all tickets

lowest term
5/500 divide by 5 is 1/100

percent
1%

20. A class of 25 students has 15 girls and 10 boys. If one student is picked on random, what is the probability it is a girl?

po/tpo
15 girls / 25 students

lowest term
15/25 divide by 5 is 3/5

percent
60%

21. There are 26 letters in the alphabet. What is the probability that a letter chosen at random is in the word MATHEMATICS?

MATHEMATICS has 11 letters but some of them are doubles.
So there are only 8 different letter in the word.

po/tpo
8 letters in mathematics / 26 letters in the alphabet

lowest term
8/26 divide by 2 is 4/13

percent
30.77%

A class of 30 students has 15 girls and 15 boys. If one student is picked on random, what is the probability it is a boy?

po/tpo
15 boys / 30 students

lowest term
15/30 divide by 15 is 1/2

percent
50%

Part II.

Fun and Games

You and some classmates need to create a game for a booth at the school carnival. The game should be easy to make and set up. I should be fun, too, but it mustn’t take long to play. Of course the game must be fair. This means that any player would have about the same chance of winning as losing.

The objective of the game is to take your bear from the store to their home. To move your bear you use 2 6 sided dice: 1 space - roll 6 or 7 or 8; 2 spaces - roll 4 or 5 or 9 or 10; 3 spaces - 3 or 11; rolling a 2 makes you move 2 spaces and gives you another turn; rolling a 12 makes you move 4 spaces but you will lose your next turn. Also the board has different things that will help you go forward or backwards.

The game should be fair since all players can roll different numbers to help them win.