Important Questions for Class 12 Maths Chapter 13 – Probability

Ans – We know that the sum of all the probabilities of a random variable equals 1

Ans – Given that,

4) Three shots are fired at the enemy by a soldier. There is a 0.7 chance that one gunshot will kill that enemy. How likely is it that the enemy is still alive?

Ans – It is known that there is a 0.7 chance that one gunshot will kill the enemy.
After one bullet is fired, the chance that the enemy will still be alive is equal to 1 − 0.7 = 0.3.
The probability that the enemy remains alive after three bullets are fired is calculated as 0.3 × 0.3 × 0.3 = 0.027.
Thus, the probability that the enemy remains alive is 0.027.

5) 20 cards are numbered 1 to 20. One card is chosen at random. Find the probability that the number of the card picked will be a multiple of 4?

Ans – Given that,
Sample space, S=1,2,3, ………,20
Total number of outcomes in the sample space, n(S) = 20
Let A be the event of obtaining multiples of 4, A = 4, 8, 12, 16, 20
Total count of favourable outcomes, n(A) = 5
It is known that,
Probability of an event A: P(A) = n(A)/n(S)
⇒ P(A) = 5/20 = 0.25
The probability that the number on the card will be a multiple of 4 = 0.25.

NCERT Questions for Class 12 Maths Chapter 13 – Probability

Probability forms an important chapter in Class 12 Mathematics because most high-level concepts get preceded by it in the coming studies. It would help to identify the chances of an event occurring, hence enable us to take decisions related to data. Not just a piece of theory, it’s something which plays out its role extremely crucially in reality in all sectors of science, business, and economics.

Practicing Important Questions

Importance of mastering the entire syllabus cannot be denied, yet it is found that practicing essential questions can benefit students in maximizing understanding and getting good marks. Important questions give students an insight into the basic topics, implement theoretical concepts at the right times, and get them to better their problem-solving skills. As a result, regular practice raises confidence and puts students in readiness to face whatever type of question may come to the exam paper.

Why is Probability important for Class 12 Maths?

A good understanding of probability will definitely be useful to students pursuing professions in statistics, finance, data analysis, or even artificial intelligence. This chapter will guide readers on how to analyze data and predict the probability of events by making logical deductions from available data. It, therefore, aids in sharpening mathematical skills, but most importantly, trains a student to reason and think clearly, a major requirement in scholarly work and application in life.

The conceptual clearness of students improves, their accurate solving towards the problems along with a better approach towards strategizing the kind of problems they could face during exams. This further increases to increase the probabilities, the greater they practice to familiarise different forms of question papers that build chances of fetching great results on class 12th board.