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Algebra 2 - Quiz #2

Total questions: 7

Worksheet time: 35mins

Name
Class
Date
1.

A single shoulder backpack contains 50 crayons for coloring day. There are 12 red, 15 green, 6 blue, 9 yellow, 1 goldenrod, 4 purple and 3 orange crayons. If one crayon is selected at random, what is the probability that a red, blue OR purple crayon is chosen?

a)

 1125=44%\frac{11}{25}=44\%  

b)

 1425=56%\frac{14}{25}=56\%  

c)

 2150=42%\frac{21}{50}=42\%  

d)

 050=0%\frac{0}{50}=0\%  

2.

A single shoulder backpack contains 50 crayons for coloring day. There are 12 red, 15 green, 6 blue, 9 yellow, 1 goldenrod, 4 purple and 3 orange crayons. If two crayons are selected at random, what is the probability that you chose a green crayon then an orange crayon?

a)

 9490=1.84%\frac{9}{490}=1.84\%  

b)

 9500=1.8%\frac{9}{500}=1.8\%  

c)

 925=36%\frac{9}{25}=36\%  

d)

 91225=0.7%\frac{9}{1225}=0.7\%  

3.

Use the two-way table to find the probability. If you select one person at random find:

P (male | right-handed)

a)

63109=57.8%\frac{63}{109}=57.8\%

b)

63121=52.1%\frac{63}{121}=52.1\%

c)

6368=92.6%\frac{63}{68}=92.6\%

4.

Use the two-way table to find the probability. If you select one person at random find:

P (left-handed | female)

a)

 753=13.2%\frac{7}{53}=13.2\%  

b)

 7121=5.8%\frac{7}{121}=5.8\%  

c)

 712=58.3%\frac{7}{12}=58.3\%  

5.

In Mario Kart there are 12 racers per cup race. If you finish 1st, 2nd or 3rd you get a trophy. How many different ways can the trophies be won?

a)

This is a permutation and there are 1,320 ways.

b)

This is a combination and there are 220 ways.

c)
d)

Bowser always wins...

6.

There is a cup on Tarver's desk that has 17 paper clips. If you need 6 paper clips, how many different ways can you select them?

a)

This is a combination, so there are 12,376 ways.

b)

This is a permutation, so there are 8,910,720 ways.

7.

Bonus Question: If you have a standard 52-card deck of cards and you are going to draw two cards, what is the probability you draw a face card, then a card with an even number?

a)

20221=9%\frac{20}{221}=9\%

b)

15169=8.9%\frac{15}{169}=8.9\%

c)

16221=7.2%\frac{16}{221}=7.2\%