NCERT Solutions for class 11 Maths | Chapter 16 - Probability
Questions
1
When a coin is tossed 8 times getting a head is a success. Then the probability that at least 2 heads will occur is
Answer:247/256
2
The probability of getting the number 6 at least once in a regular die if it can roll it 6 times?
Answer:1 – (5/6)6
⭐ Make GKSeries Your Preferred Source on Google
Add GKSeries as Preferred Source
3
A certain company sells tractors which fail at a rate of 1 out of 1000. If 500 tractors are purchased from this company, what is the probability of 2 of them failing within first year
Answer:e--1/2/8
4
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is
Answer:1/9
5
Two dice are thrown the events A, B, C are as follows A: Getting an odd number on the first die. B: Getting a total of 7 on the two dice. C: Getting a total of greater than or equal to 8 on the two dice. Then AUB is equal to
Answer:21
6
The probability that in a random arrangement of the letters of the word INSTITUTION the three T are together is
Answer:0.0545
7
Two unbiased dice are thrown. The probability that neither a doublet nor a total of 10 will appear is
Answer:7/9
8
A bag contains 5 brown and 4 white socks . A man pulls out two socks. The probability that both the socks are of the same colour is
Answer:4/9
10
The probability that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it contains 3 Kings is
Answer:9/1547
11
A couple has two children. The probability that both children are females if it is known that the elder child is a female is
Answer:1/2
12
Two cards from a pack of 52 cards are lost. One card is drawn from the remaining cards. If drawn card is diamond then the probability that the lost cards were both hearts is
Answer:143/11760
13
There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is
Answer:1/6
14
Let A and B are two mutually exclusive events and if P(A) = 0.5 and P(B ̅) = 0.6 then P(A∪B) is
Answer:0.9
15
Three identical dice are rolled. The probability that the same number will appear on each of them is
Answer:1/36
16
If four whole numbers taken at random are multiplied together, then the chance that the last digit in the product is 1, 3, 5, 7 is
Answer:16/625
17
Two numbers are chosen from {1, 2, 3, 4, 5, 6} one after another without replacement. Find the probability that the smaller of the two is less than 4.
Answer:4/5
18
A certain company sells tractors which fail at a rate of 1 out of 1000. If 500 tractors are purchased from this company, what is the probability of 2 of them failing within first year
Answer:e-1/2/8
19
A random variable X has poison distribution with mean 2. Then, P (X > 1.5) equals
Answer:1 – 3/e²
20
On his vacation, Rahul visits four cities (A, B, C, and D) in a random order. The probability that he visits A first and B last is
Answer:1/12
Chapters
- Set Theory
- Relations and Functions
- Trigonometric Functions
- Principle of Mathematical induction
- Complex numbers and quadratic equations
- Linear inequalities
- :Permutations and combinations
- Binomial theorem
- Sequences and series
- Straight lines
- Conic
- Introduction to three dimensional geometry
- Limits and derivatives
- Mathematical reasoning
- Statistics
- Probability
