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A7.1 Simple & Compound Probabiliy

Total questions: 18

Worksheet time: 56mins

Name
Class
Date
1.

P(4)

a)

16\frac{1}{6}

b)

14\frac{1}{4}

c)

46\frac{4}{6}

d)

11

2.

P(2 or 3)

a)

136\frac{1}{36}

b)

16\frac{1}{6}

c)

23\frac{2}{3}

d)

13\frac{1}{3}

3.

Lauren spins the spinner with 8-equal sized sections one time. Drag the tiles to arrange the events in order from least likely to most likely.

a)

spinning a 4 or 5

b)

spinning a 6

c)

spinning an even number

d)

spinning a number greater than 5

1)
2)
3)
4)
4.

The probability of picking a red marble is 0.25. How many of the marbles must be red? Color in the circles below to show your answer.

5.
Determine if the following events are dependent or independent.
Anna flips a coin two times.
a)
Independent
b)
Dependent
6.
Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.
a)
Independent
b)
Dependent
7.

Clara picks a marble at random, puts it back, and then picks another marble at random.

a)

independent

b)

dependent

8.

A bag contains 8 red marbles and 3 blue marbles. Another bag contains 5 green marbles and 4 yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow.

a)

Independent

b)

Dependent

9.

A cooler contains fourteen bottles of sports drink: 7 lemon-lime flavored and 7 orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. Your friend gets a lemon-lime and you get an orange.

a)

Independent

b)

Dependent

10.

If you spin two times, what is the probability of landing on green both times?

a)

16+16\frac{1}{6}+\frac{1}{6}

b)

16×16\frac{1}{6}\times\frac{1}{6}

c)

16×26\frac{1}{6}\times\frac{2}{6}

d)

13×13\frac{1}{3}\times\frac{1}{3}

11.

A jar contains 4 white playing chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are put back. Find P(purple then black)

a)

510×19=590\frac{5}{10}\times\frac{1}{9}=\frac{5}{90}  

b)

510×110=5100\frac{5}{10}\times\frac{1}{10}=\frac{5}{100}  

c)

410×19=490\frac{4}{10}\times\frac{1}{9}=\frac{4}{90}  

d)

410×110=4100\frac{4}{10}\times\frac{1}{10}=\frac{4}{100}  

12.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. Find P(both marbles are purple)

a)

510×510=25100\frac{5}{10}\times\frac{5}{10}=\frac{25}{100}  

b)

510×49=2090\frac{5}{10}\times\frac{4}{9}=\frac{20}{90}  

c)

210×19=290\frac{2}{10}\times\frac{1}{9}=\frac{2}{90}  

d)

310×29=690\frac{3}{10}\times\frac{2}{9}=\frac{6}{90}  

13.

What is the probability of picking a green marble, keeping it, then picking another green marble?

a)

37×37\frac{3}{7}\times\frac{3}{7}

b)

37×26\frac{3}{7}\times\frac{2}{6}

c)

37×36\frac{3}{7}\times\frac{3}{6}

d)

37×73\frac{3}{7}\times\frac{7}{3}

14.

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 6).

a)

112\frac{1}{12}

b)

12\frac{1}{2}

c)

13\frac{1}{3}

d)

16\frac{1}{6}

15.
A coin is tossed and then the spinner is spun. Determine the probability that you toss Heads and spin a Red.
a)

16\frac{1}{6}

b)

110\frac{1}{10}

c)

18\frac{1}{8}

d)

112\frac{1}{12}

16.

Read through the problem and student work. What is the mistake they made while calculating?

4 lines
17.
In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?
a)

0.50

b)

0.36

c)

0.10

d)

0.67

18.

How comfortable do you feel working on probability problems?

a)

This is easy!

b)

There are a couple hard questions, but I feel ok.

c)

I feel lost /

I need more practice