Table of Contents

Probability is a concept that helps us to quantify the likelihood of different occurrences. In the mathematics of class 9, chapter 15 takes you to chances; giving you various chances to understand and solve the probability-related problems. This are the instructions for the worksheet you have done in the chapter of this book. Thus it will help you the grasp the important concepts and principles very well.

Infinity Learn commits to assisting students to have good grades through its complete and diverse literary sources, as well as sample materials. This worksheet, which is offered by Infinity Learn, is precisely designed to deepen your knowledge and application of the probability concepts while building you a solid ground against probing in your examination. Jump into these experiences to make your confidence and mastery of probability possible!

## Class 9 Mathematics Chapter 15: Probability Worksheet

**Basic Probability**

**Question:** If a coin is tossed 200 times and heads come up 120 times, what is the probability of getting heads?

**Answer: **P(Heads)=200/120=0.6

**Dice Rolling**

**Question:** What is the probability of rolling a 3 on a fair six-sided dice?

**Answer: **P(3)=6/1

**Card Drawing**

**Question:** What is the probability of drawing an Ace from a standard deck of 52 cards?

**Answer:** P(Ace)=5/24=1/31

**Also Check: CBSE Worksheets for Class 9 Maths**

**Even Numbers on Dice**

**Question:** What is the probability of rolling an even number on a fair six-sided dice?

**Answer: **P(Even)=3/6=0.5

**Non-Favorable Outcome**

**Question:** If a dice is thrown once, what is the probability of not getting a 5?

**Answer: **P(Not 5)= 5/6

**Marbles in a Bag**

**Question:** A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of drawing a blue marble?

**Answer: **P(Blue)= 3/10

**Compound Probability**

**Question:** If two coins are tossed, what is the probability of getting at least one head?

**Answer: **P(At least one head)=1−P(No heads)=1−(1.4)=3/4

**Independent Events**

**Question:** What is the probability of getting heads on two consecutive tosses of a fair coin?

**Answer: **P(Heads on two tosses)= 1/2 x 1/2 = 1/4

**Classroom Example**

**Question:** In a class of 40 students, 15 are girls. If a student is selected randomly, what is the probability that the student is a girl?

**Answer: **P(Girl)= 15/40 = 3/8

**Probability Complement**

**Question:** If the probability of an event occurring is 0.7, what is the probability of the event not occurring?

**Answer: **P(Not occurring)=1−0.7=0.3

**Spinner**

**Question:** A spinner is divided into 4 equal parts numbered 1 to 4. What is the probability of landing on 3?

**Answer: **P(3)= 1/4

**Multiple Outcomes**

**Question:** In a lottery with 100 tickets, one ticket is drawn at random. What is the probability of winning if you bought 5 tickets?

**Answer: **P(Winning)= 5/100 = 1/20

**Probability in Percentage**

**Question:** If the probability of rain on a given day is 0.75, what is the probability expressed as a percentage?

**Answer: **0.75×100=75%

**Rolling Two Dice**

**Question:** What is the probability of rolling a sum of 7 on two six-sided dice?

**Answer:** There are 6 favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).

P(Sum of 7)= 6/36= 1/6

**Probability of Either Event**

**Question:** What is the probability of drawing either a king or a queen from a standard deck of 52 cards?

**Answer: **P(King or Queen)= 4 + 4/52 = 8/52 = 2/13

**Non-standard Dice**

**Question:** A biased dice is weighted so that a 6 is twice as likely to occur as any other number. What is the probability of rolling a 6?

**Answer:** Let the probability of each other number be x. Therefore,

6x=1.

$x=\frac{1}{7}$x= 1/7.

So,

$$P(6)= 2/7

**Selecting Students**

**Question:** In a class with 12 boys and 18 girls, what is the probability of selecting a boy?

**Answer: **P(Boy)= 12/30 = 2/5

**Deck of Cards**

**Question:** What is the probability of drawing a red card from a standard deck of 52 cards?

**Answer: **P(Red card) = 26/52 = 1/2

**Birthday Problem**

**Question:** What is the probability that two people in a group of 23 share the same birthday?

**Answer:** This is a classic probability puzzle known as the Birthday Paradox. The probability is approximately 0.507.

**Even Sum on Dice**

**Question:** What is the probability of getting an even sum when rolling two six-sided dice?

**Answer:** Half of the outcomes will be even.

P(Even sum) = 1/2

### CBSE Worksheet Class 9 Maths

**CBSE Worksheet Chapter 1 Number System****CBSE Worksheet Chapter 2 Polynomials****CBSE Worksheet Chapter 6 Lines and Angles****CBSE Worksheet Chapter 12 Heron’s Formula**

### Answer Key

- 0.6
- 1/6
- 1/13
- 0.5
- 5/6
- 3/10
- 3/4
- 1/4
- 3/8
- 0.3
- 1/4
- 1/20
- 75%
- 1/6
- 2/13
- 2/7
- 2/5
- 1/2
- 0.507
- 1/2