Practice Questions: Math for AI (Statistics & Probability) | Artificial Intelligence (AI) for Class 9 PDF Download

Q1. What is the primary role of mathematics in Artificial Intelligence (AI)?
(a) Creating user interfaces
(b) Studying languages
(c) Recognizing and understanding patterns
(d) Managing hardware resources

Ans: (c)
Mathematics helps AI recognize patterns in data such as images, numbers, and speech, which is a core aspect of AI functioning.

Q2. Which of the following is an example of a certain event?
(a) Rolling a 7 on a standard die
(b) Getting heads or tails in a coin toss
(c) Picking a red ball from a bag with only red balls
(d) Getting rain in a desert every day

Ans: (c)
A certain event has a probability of 1—it is guaranteed to happen.

Q3. Which mathematical field is primarily used in AI to predict the likelihood of future events?
(a) Linear Algebra
(b) Probability
(c) Calculus
(d) Geometry

Ans: (b)
Probability is used to model uncertainty and predict outcomes in AI systems.

Q4. In the number pattern: 4, 10, 16, 22, 28, ? – what is the next number?
(a) 32
(b) 34
(c) 36
(d) 38

Ans: (b)
The pattern increases by 6 each time.

Q5. What is the median of the following data set: 
145, 147, 148, 149, 150, 152, 155, 160, 144?
(a) 147
(b) 149
(c) 150
(d) 144

Ans: (b)
Ordered set is 144, 145, 147, 148, 149, 150, 152, 155, 160. The middle value is 149.

Q6. What does statistics help AI systems do?
(a) Clean data visually
(b) Improve battery life
(c) Collect, explore, and analyze data
(d) Choose colors in user interfaces

Ans: (c)
Statistics is used in AI to manage and interpret data for informed decision-making.

Q7. What is the probability of getting an even number when rolling a 6-sided die?
(a) 1/3
(b) 1/2
(c) 1/6
(d) 2/3

Ans: (b)
Even numbers on a die: 2, 4, 6 (3 out of 6 outcomes), so 3/6 = 1/2.

Q8. Which of these is an example of an equal probability event?
(a) Picking a black ball from a bag with only white balls
(b) Tossing a coin
(c) Rain on a clear sunny day
(d) Scoring a goal every time in football

Ans: (b)
A fair coin has equal probability for heads or tails (1/2).

Q9. Which mathematical concept helps in training and improving AI models?
(a) Geometry
(b) Statistics
(c) Calculus
(d) Trigonometry

Ans: (c)
Calculus helps in optimizing models by minimizing errors and improving learning.

Q10. Which of the following events is impossible?
(a) Drawing an ace from a standard card deck
(b) Rolling a number less than 7 on a die
(c) Tossing a coin and getting both heads and tails
(d) Drawing a red ball from a bag with red and green balls

Ans: (c)
A fair coin can only land on one face—getting both outcomes at once is impossible.