Free Printable Chapter 9 : Probability of Combined Events

Worksheets

Chapter 9 : Probability of Combined Events

Total questions: 40

Worksheet time: 4hrs 41mins

Name

Class

Date

Which of the following is/are dependent events?

The pointer of a lucky wheel stops at the same sector twice consecutively

The selection of two boys from a group of ten girls and fourteen boys at random

Answer three objective questions with four options correctly if the answer of each question is chosen at random

Obtain two pens of the same colour when two pens are taken out at random from a container that contains 3 red pens and 2 blue pens with replacement.

Which of the following is correct?

$n\left(S\right)=n\left(A\right)\times n\left(B\right)$

$n\left(S\right)=n\left(A\right)+n\left(B\right)$

$n\left(S\right)=n\left(A\right)-n\left(B\right)$

$n\left(S\right)=\frac{n\left(A\right)}{n\left(B\right)}$

Box A contains a red card and two yellow cards.

Box B contains three red cards and a yellow card.

Fauziah chooses a card from box A and box B respectively.

What are the probability of Fauziah getting both yellow cards?

1/6

2/3

1/4

2/9

According to an investigation, the probability of rainfall on Mountain X in May is 0.45.

Calculate the probability that Mountain X will have two consecutive rainy days in May.

0.90

0.55

0.3025

0.2025

A box contains 12 bulbs where two of the bulbs are burnt. Two bulbs are selected at random from the box.

Calculate the probability of getting two burnt bulbs.

1/36

1/66

15/22

25/36

Which of the following is/are the addition rule of probability?

The probability that a smartphone manufactured has a display problem is 2/13. Two smartphones are chosen at random.

Calculate the probability that at least one smartphone chosen has a display problem.

48/169

121/169

4/169

44/169

Seven cards labelled with the letters "G,E,M,B,I,R,A" are put in a box. A card is chosen at random from the box.

Calculate the probability that the card chosen is labelled with a vowel or letter "R"

4/7

12/49

3/7

37/49

Two prefects are chosen at random from five prefects, where three of them are in Form Four and two are in Form Five.

Calculate the probability that both prefects chosen are in the same form.

0.09

0.6

0.10

0.4

10.

The probability of Kam Seng passing his Physics and Chemistry tests are 0.58 and 0.42 respectively.

Calculate the probability that

a) Kam Seng passes both tests.

0.2345

0.2436

0.2433

0.2536

11.

The probability of Kam Seng passing his Physics and Chemistry tests are 0.58 and 0.42 respectively.

Calculate the probability that

b) Kam Seng passes only one test

0.4128

0.5

0.5128

0.5118

12.

Julian selects a card at random from the cards shown. What is the probability that the card Julian selects is a polygon? ( A polygon is a shape with 3 or more straight sides)

⅓

⅔

⅚

13.

Daniel bought a bag of 32 candy-coated chocolates. Of those candies, 11 are blue and 10 are orange. If Daniel selects a candy at random, what is the probability that the candy will NOT be blue orange?

11/32

1/2

11/16

21/32

14.

A bag of markers has 4 red markers, 5 blue markers, 3 yellow markers, and 3 green markers. If Maria pulls out a marker without looking, what is the probability he will NOT pull out a blue marker?

5/10

1/3

4/15

2/3

15.

A small bag of jelly beans contains 2 lemons, 4 cherry, 1 lime, and 3 blueberry jelly beans. If Jessica chooses a jellybean without looking, what is the probability it will be cherry or blueberry?

3/10

7/10

1/2

1/4

16.

Jose randomly selected a block like the ones shown from a bag. What is the probability that he will choose a cube with a number less than 5?

⅔

⅙

⅓

⅚

17.

Probability is ...

the chance that some event will occur.

a game that involves coins.

a guarantee.

18.

Which event or complement has a probability of ¼?

P(yellow)

P(NOT blue or orange)

P(yellow or green)

P(NOT green)

19.

Without looking, Ashley selected a tile from the tiles shown. What is the probability she will NOT choose a prime number? ( A prime number is any number with 1 and itself as factors)

⅗

⅖

4/9

20.

What is the probability of spinning the spinner and having it land on RED?

⅓

⅔

⅚

21.

The chart shows the number of times a marble was selected randomly from a bag. What is the probability that the marble selected is NOT green or blue?

21/38

10/28

5/14

17/38

22.

The tree diagram shows the outcomes of rolling a die and flipping a coin.
What is the probability of rolling an even number and flipping a head?

³/₁₂

¹/₂

⁴/₁₂

⁰/₁₂

23.

The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?

24.

P(1 and A)

1/16

1/10

4/16

1/4

25.

Three coins are tossed. How many outcomes have either two heads or two tails?

26.

The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special?

27.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

1/12

1/4

1/8

1/2

28.

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?

( TW, CW, PW )

( TW, TM, TC, CW, PW )

( TW, TM, CW, CM, PW, PM )

( TCP, MW )

29.

What is the probability that you will get plain crust with ham on your pizza?

1/8

1/₂

1/₁₀

2/₁₀

30.

Is the event INDEPENDENT or DEPENDENT?
Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.

Independent

Dependent

31.

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

Independent

Dependent

32.

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(purple then black)

1/18

2/5

3/7

4/9

33.

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.

3/20

1/4

3/31

2/27

34.

Which formula do you use when two events are mutually exclusive?

P(A or B) = P(A) + P(B)

P(A or B) = P(A) + P(B) - P(both)

P(A and B) = P(A) * P(B)

P (A and B) = P(A) * P(B|A)

35.

Which formula do you use when two events are NOT mutually exclusive?

P(A or B) = P(A) + P(B)

P(A or B) = P(A) + P(B) - P(A or B)

P(A and B) = P(A) * P(B)

P (A and B) = P(A) * P(B|A)

36.

Which of the following shows how to determine P(shaded number or number less than five)?

4/8 + 4/8 - 2/8

4/9 + 2/8 - 4/8

4/8 + 6/8 + 2/8

2/8 + 4/8 - 4/8

37.

A box contains 9 new light bulbs and 6 used light bulbs. Each light bulb is the same size and shape. Meredith will randomly select 2 light bulbs from the box without replacement. What is the probability Meredith will select a new light bulb and then a used light bulb?

1/54

2/15

6/25

9/35

38.

You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?

The probability is 3/11

The probability is 1/11

The probability is 3/132

The probability is 3/12

39.

40.

100 %

Chapter 9 : Probability of Combined Events

Total questions: 40

Worksheet time: 4hrs 41mins

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