Free Printable IGCSE Probability

1.

Calculate the probability of rolling a 5 on a fair six-sided die.

a)

1/4

b)

1/6

c)

1/3

d)

1/2

2.

If the probability of rain on any given day is 0.3, what is the probability of no rain for 3 consecutive days?

a)

0.9

b)

0.5

c)

0.343

d)

0.2

3.

Explain the concept of independent events in probability with an example.

a)

If you roll a dice and pick a card from a deck, the outcomes are independent events.

b)

If you toss a coin twice, the outcomes of the two tosses are dependent events.

c)

If you spin a spinner and draw a marble from a bag, the outcomes are independent events.

d)

If you roll a dice and flip a coin, the outcomes of the dice and the coin are independent events.

4.

A bag contains 5 red and 3 blue marbles. If a marble is drawn at random and not replaced, what is the probability of drawing 2 red marbles in a row?

a)

4/8 * 3/7

b)

5/8 * 4/7

c)

5/8 * 3/7

d)

3/8 * 2/7

5.

Use a tree diagram to calculate the probability of flipping a fair coin and rolling a fair six-sided die, and getting a head and a 4.

a)

1/2

b)

1/3

c)

1/6

d)

1/12

6.

If the probability of winning a game is 0.6 and the probability of losing is 0.4, what is the probability of winning 3 games in a row?

a)

0.216

b)

0.72

c)

0.6

d)

0.4

7.

Two cards are drawn from a standard deck of 52 cards without replacement. What is the probability that the first card is a heart and the second card is a diamond?

a)

1/16

b)

1/8

c)

13/204

d)

1/26

8.

Explain the concept of dependent events in probability with an example.

a)

Picking a red ball from a bag, not replacing it, and then picking another red ball from the same bag is an example of independent events.

b)

If a card is drawn from a deck and not replaced, then drawing a second card is a dependent event.

c)

If a coin is flipped twice, the outcome of the second flip is not affected by the outcome of the first flip.

d)

Rolling a fair six-sided die twice and getting a 3 both times is an example of dependent events.

9.

A box contains 4 red, 3 blue, and 5 green balls. If a ball is drawn at random and not replaced, what is the probability of drawing a blue ball followed by a green ball?

a)

0.113

b)

0.5

c)

0.25

d)

0.083

10.

A spinner is divided into 8 equal sections, numbered 1 to 8. What is the probability of spinning a number greater than 5 or an even number?

a)

3/8

b)

5/8

c)

2/8

d)

7/8

11.

Find P(MM)

a)

$\frac{42}{132}$

b)

$\frac{35}{132}$

c)

$\frac{20}{132}$

d)

$\frac{13}{23}$

12.

Find P(MD)

a)

$\frac{42}{132}$

b)

$\frac{35}{132}$

c)

$\frac{20}{132}$

d)

$\frac{13}{23}$

13.

Find P(DM)

a)

$\frac{42}{132}$

b)

$\frac{35}{132}$

c)

$\frac{20}{132}$

d)

$\frac{13}{23}$

14.

Find P(DD)

a)

$\frac{42}{132}$

b)

$\frac{35}{132}$

c)

$\frac{20}{132}$

d)

$\frac{13}{23}$

15.

Find the probability of picking two blue pens

a)

$\frac{56}{90}$

b)

$\frac{16}{90}$

c)

$\frac{64}{100}$

d)

$\frac{15}{90}$

16.

Find the probability of picking a red pen then a blue pen

a)

$\frac{56}{90}$

b)

$\frac{16}{90}$

c)

$\frac{16}{100}$

d)

$\frac{10}{90}$

17.

Find the probability of picking two red pens

a)

$\frac{56}{90}$

b)

$\frac{16}{90}$

c)

$\frac{4}{90}$

d)

$\frac{2}{90}$

18.

Find A, the probability that the first counter is Blue

a)

$\frac{4}{8}$

b)

$\frac{3}{7}$

c)

$\frac{5}{8}$

d)

$\frac{5}{7}$

19.

Find B, the probability that the first counter is Red

a)

$\frac{3}{8}$

b)

$\frac{3}{7}$

c)

$\frac{5}{8}$

d)

$\frac{5}{7}$

20.

Find the probability of selecting two lemon sweets

a)

$\frac{10}{18}$

b)

$\frac{25}{81}$

c)

$\frac{16}{81}$

d)

$\frac{20}{81}$

21.

Find the probability of selecting two strawberry sweets

a)

$\frac{10}{18}$

b)

$\frac{25}{81}$

c)

$\frac{16}{81}$

d)

$\frac{20}{81}$

22.

Find P(SL)

a)

$\frac{10}{18}$

b)

$\frac{25}{81}$

c)

$\frac{16}{81}$

d)

$\frac{20}{81}$

23.

Find P(LL)

a)

0.1

b)

0.01

c)

0.2

d)

0.02

24.

Find P(OL)

a)

0.9

b)

0.09

c)

1.0

d)

0.81

25.

Find P(OO)

a)

0.9

b)

0.81

c)

0.18

d)

0.081

26.

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

a)

1 ⁄ 16

b)

1 ⁄ 2

c)

1 ⁄ 4

d)

1 ⁄ 8

27.

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

28.

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

29.

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

30.

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice. What is the probability that it lands on red first and then blue?

a)

Independent

b)

Dependent

31.

Which event is not a dependent event?

a)

Picking 2 students to be the line leader and the door holder from a group of 20 students

b)

Picking 2 marbles from a bag without replacing the first marble

c)

Picking 2 crayons from a box without putting any back

d)

Picking an earring, replacing it, then picking a 2nd earring

32.

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

33.

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)

a)

1/36

b)

2/39

c)

5/41

d)

6/43

34.

Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts. She puts the candy in the bowl. If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a pink and then a yellow?

a)

1/35

b)

7/210

c)

6/225

d)

2/75

35.

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

36.

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

a)

1/3

b)

1/2

c)

1/6

d)

1/4

37.

What is the probability of tossing a coin four times and getting tails each time?

a)

1/16

b)

1/8

c)

1/2

d)

1/4

38.

A coin is tossed and one number cube is rolled. Find the probability, P(heads and 7).

a)

1/14

b)

1/2

c)

0

d)

1/7

39.

A number cube is rolled and a coin is tossed. What is the probability of rolling a number greater than 4 and tossing tails?

a)

1/6

b)

1/3

c)

1/2

d)

1/4

40.

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

a)

1/4

b)

2/3

c)

3/10

d)

3/5

41.

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

a)

1/9

b)

1/27

c)

1/6

d)

2/9

42.

When randomly drawing from a standard deck of 52 playing cards, what is the probability of drawing a 9 four times in a row if the cards are not replaced?

a)

1/5,525

b)

1/270,725

c)

1/28,561

d)

1/4

43.

In a standard deck of 52 cards, what is the probability of drawing one ace after another ace on two draws (no replacing)?

a)

1/221

b)

1/4

c)

1/169

d)

1/13

44.

There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.

a)

1/2

b)

1/36

c)

1/6

d)

1/66

45.

Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?

a)

1/13

b)

4/663

c)

1/676

d)

1/169

46.

Dependent probability happens when the first item is not replaced, causing the total outcomes to decrease by 1.

a)

true

b)

false

47.

A bag contains 2 striped cubes, 5 dotted cubes, 5 white cubes and 3 red cubes. What is the probability of drawing two striped cubes in succession, without replacing the first cube drawn?

a)

independent

b)

dependent

48.

A pocket contains 3 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime, replacing it, and then drawing a penny?

a)

independent

b)

dependent

49.

A pocket contains 3 pennies, 2 nickels, 3 quarters and 4 dimes. What is the probability of randomly choosing a quarter two times in a row if the first coin drawn is not replaced?

a)

dependent

b)

independent

50.

Clinton has a bag of Skittles™. Inside the bag are 6 red, 4 orange, 7 yellow, 3 purple and 4 green Skittles™. What is the probability of drawing a green Skittle™, replacing it, and then drawing another green Skittle™?

a)

independent

b)

dependent

IGCSE Probability

Total questions: 50

Worksheet time: 2hrs 49mins

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