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Probability (Extended)

Total questions: 45

Worksheet time: 2hrs 15mins

Name
Class
Date
1.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

a)

1%

b)

110\frac{1}{10}

c)

310\frac{3}{10}

d)

3%

2.

What is the probability of flipping a coin

3 times and getting 3 heads?

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

12\frac{1}{2}

d)

34\frac{3}{4}

3.

Hanna has a 6-sided die and a coin. She rolls the die and throws the coin. What is the probability of getting a 5 or tail?

a)

12\frac{1}{2}

b)

812\frac{8}{12}

c)

23\frac{2}{3}

d)

712\frac{7}{12}

4.

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

a)

320\frac{3}{20}

b)

14\frac{1}{4}

c)

331\frac{3}{31}

d)

227\frac{2}{27}

5.

What is the probability that the person picked will be a boy given they speak german?

a)

0.7273

b)

0.4738

c)

0.1632

d)

0.2277

6.

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

a)

19\frac{1}{9}

b)

29\frac{2}{9}

c)

521\frac{5}{21}

d)

1021\frac{10}{21}

7.

The die is rolled 100 times. How many times would you expect to get a multiple of 4?

a)

4

b)

25

c)

20

d)

7

8.

Celine buys a bag of 24 tulip bulbs.

There are 8 red bulbs and 5 white bulbs.

All of the other bulbs are yellow.

Celine chooses a bulb at random from the bag.

Write down the probability that the bulb is red or white.

a)

824\frac{8}{24}

b)

1324\frac{13}{24}

c)

1124\frac{11}{24}

9.

Zingon make light bulbs.
The probability that a Zingon light bulb is faulty is  120\frac{1}{20}  .
Gina tests 240 of these light bulbs.How many of them would she expect to be faulty?

a)

12

b)

22

c)

21

d)

44

10.

The probability that it will rain in the city of Alexandria tomorrow is 0.01,

What is the probability that it will not rain in Alexandria tomorrow?

(a)  

11.

A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?

a)

18\frac{1}{8}

b)

12\frac{1}{2}

c)

1

d)

38\frac{3}{8}

12.

A box contains 7 yellow pencils and 3 black pencils. Michael randomly chooses a pencil and does not replace it. Then he chooses a second pencil. What is the probability that both pencils are black?

a)

0.67%

b)

6.7%

c)

67.0%

d)

10%

13.

A die is rolled. What is the probability of rolling a 5 or a number greater than 3?

a)

23\frac{2}{3}

b)

12\frac{1}{2}

c)

56\frac{5}{6}

d)

1

14.

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?

a)

16\frac{1}{6}

b)

56\frac{5}{6}

c)

13\frac{1}{3}

d)

23\frac{2}{3}

15.

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

a)

25\frac{2}{5}

b)

121\frac{1}{21}

c)

425\frac{4}{25}

d)

17\frac{1}{7}

16.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football?

a)

3340\frac{33}{40}

b)

120\frac{1}{20}

c)

940\frac{9}{40}

d)

4980\frac{49}{80}

17.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they don't play Football?

a)

740\frac{7}{40}

b)

1380\frac{13}{80}

c)

1920\frac{19}{20}

d)

7580\frac{75}{80}

18.

What is the probability that someone plays basketball?

a)

0.50

b)

0.68

c)

0.52

d)

0.46

19.

What is the probability that they speak French given that they are a girl?

a)

2.14

b)

0.24

c)

0.4

d)

0.85

20.
What percentage of the days that it rained, did they forecast no rain?
a)
About 20%
b)
About 18%
c)
About 14%
d)
About 12%
21.

Bernice is always early, just on time or late for work. The probability that she is early is 0.1, the probability she is just on time is 0.5.

What is the probability that she is late?

(a)  

22.

A two-digit number is chosen at random. What is the probability that the chosen number is a multiple of 7?

a)


110\frac{1}{10}

b)

19\frac{1}{9}

c)

1190\frac{11}{90}

d)

1390\frac{13}{90}

23.

Using a six-sided die, Carlin has rolled a six on each of 4 successive tosses. What is the probability of Carlin rolling a six on the next toss?

a)

12\frac{1}{2}

b)

14\frac{1}{4}

c)

16\frac{1}{6}

d)

130\frac{1}{30}

24.

If a bag of balloons consists of 47 white balloons, 5 yellow balloons, and 10 black balloons, what is the approximate likelihood that a balloon chosen randomly from the bag will be black?

a)

16%

b)

19%

c)

21%

d)

33%

25.

Consider another example where a pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced and the process repeated 2 more times, What is the probability of drawing 2 blue pens and 1 black pen?

a)

16243\frac{16}{243}

b)

48726\frac{48}{726}

c)

49\frac{4}{9}

d)

713\frac{7}{13}

26.

A box contains 4 chocobars and 4 ice creams. Tom eats 3 of them one after another. What is the probability of sequentially choosing 2 chocobar and 1 ice cream?

a)

17\frac{1}{7}

b)

37\frac{3}{7}

c)

47\frac{4}{7}

d)

23\frac{2}{3}

27.

Two coins are tossed, find the probability that two heads are obtained.

(a)  

28.

Which of these numbers cannot be a probability?

a)

1.001

b)

0.8

c)

0

d)

45%

29.

A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.

(a)  

30.

The blood groups of 200 people is distributed as follows:

50 have type A blood,

65 have B blood type,

70 have O blood type, and

15 have type AB blood.

If a person from this group is selected at random, what is the probability that this person has O blood type?

(a)  

31.

What is the probability of randomly picking a lunch with pizza, soda, and ice cream?

a)

1/18

b)

3/18 or 1/6

c)

13/18

d)

1/3

32.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked y

a)

7/10

b)

3/10

c)

6/9

d)

2/9

33.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of picking two red counters.

a)

6/90

b)

5/19

c)

47/90

d)

2/9

34.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

What is the probability that Bert & Ernie choose different juices?

a)

3/20

b)

1/12

c)

14/60

d)

19/60

35.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?

a)

1/2

b)

1/4

c)

3/4

d)

1/3

36.
P(not cereal or seafood)
a)
7/8
b)
5/8
c)
1/40
d)
1/8
37.

There are 8 counters in a bag, 1 is red.


I take one counter, replace it, then take another.

What is the probability of taking counters of the same colour?

a)

14/64

b)

1/64

c)

50/64

d)

49/64

38.

What is the probability that I win the game I play?

a)

0.70

b)

0.64

c)

0.06

d)

1.1

39.

A stack of cards has 5 red cards and 8 blue cards. Sarah draws a card without

replacement, then draws another card. What is the probability that she will draw two red

cards?

a)

28/39

b)

5/39

c)

20/169

d)

1/156

40.

A basket contains 4 green marbles and 8 blue marbles. A marble is drawn without

replacement. Then another marble is drawn. What is the probability that both marbles will

be green?

a)

0.11

b)

0.61

c)

0.09

d)

0.47

41.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
42.

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.

a)

Independent

b)

Dependent

43.
Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy.  We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.
a)
Independent
b)
Dependent
44.

A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out two marbles without replacing the marbles. What is the probability that they will both be yellow?

a)

2/19

b)

1/10

c)

1/25

d)

1/45

45.
Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)
a)
4/225
b)
1/105
c)
3/71

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