English

A die has two faces each with number ‘1’, three faces each with number ‘2’ and one face with number ‘3’. If die is rolled once, determine P(2) P(1 or 3) P(not 3)

Advertisements
Advertisements

Question

A die has two faces each with number ‘1’, three faces each with number ‘2’ and one face with number ‘3’. If die is rolled once, determine

  1. P(2)
  2. P(1 or 3)
  3. P(not 3)
Sum
Advertisements

Solution

Total possible outcomes on a dice = 6

i. 2 is marked on 3 faces

There are 3 ways to get 2

P(2) = `3/6 = 1/2`

ii. 1 is on two faces.

∴ Ways to get 1, P(1) = `2/6`

3 is marked on one face. So 3 can be got in one way, P(3) = `1/6`

∴ P(1 or 3) = `2/6 + 1/6 = 3/6 = 1/2`

iii. 3 is on only one face out of 6 faces.

So ways of not getting 3 = 6 – 1 = 5

∴ P(not 3) =`5/6`

shaalaa.com
Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
  Is there an error in this question or solution?
Chapter 14: Probability - Miscellaneous Exercise [Page 311]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 14 Probability
Miscellaneous Exercise | Q 3. | Page 311

RELATED QUESTIONS

A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine P (not B)


The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75, what is the probability of passing the Hindi examination?


In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that

  1. The student opted for NCC or NSS.
  2. The student has opted neither NCC nor NSS.
  3. The student has opted NSS but not NCC.

In a certain lottery, 10,000 tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy one ticket.


Three letters are dictated to three persons and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.


A dice is thrown. Find the probability of getting:

 2 or 4


A dice is thrown. Find the probability of getting a multiple of 2 or 3.

 

In a simultaneous throw of a pair of dice, find the probability of getting:

8 as the sum


In a simultaneous throw of a pair of dice, find the probability of getting a doublet


In a simultaneous throw of a pair of dice, find the probability of getting a doublet of prime numbers


In a simultaneous throw of a pair of dice, find the probability of getting a sum greater than 9


In a simultaneous throw of a pair of dice, find the probability of getting an even number on one and a multiple of 3 on the other


In a simultaneous throw of a pair of dice, find the probability of getting a sum more than 6


In a simultaneous throw of a pair of dice, find the probability of getting a sum less than 7


In a simultaneous throw of a pair of dice, find the probability of getting odd number on the first and 6 on the second


Two dice are thrown. Find the odds in favour of getting the sum 4.


What are the odds in favour of getting a spade if the card drawn from a well-shuffled deck of cards? What are the odds in favour of getting a king?

 

A box contains 6 red marbles numbered 1 through 6 and 4 white marbles numbered from 12 through 15. Find the probability that a marble drawn is red or even numbered.


Fill in the blank in the table:

P (A) P (B) P (A ∩ B) P(A∪ B)
0.5 0.35 ..... 0.7

If A and B are two events associated with a random experiment such that
P (A ∪ B) = 0.8, P (A ∩ B) = 0.3 and P \[(\bar{A} )\]= 0.5, find P(B).

 


The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English Examination is 0.75. What is the probability of passing the Hindi Examination?


One of the two events must occur. If the chance of one is 2/3 of the other, then odds in favour of the other are


The probability that a leap year will have 53 Fridays or 53 Saturdays is


A person write 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is


A and B are two events such that P (A) = 0.25 and P (B) = 0.50. The probability of both happening together is 0.14. The probability of both A and B not happening is


Three integers are chosen at random from the first 20 integers. The probability that their product is even is


A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected randomwise, the probability that it is black or red ball is


An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is


Five persons entered the lift cabin on the ground floor of an 8 floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first, then the probability of all 5 persons leaving at different floor is


One mapping is selected at random from all mappings of the set A = {1, 2, 3, ..., n} into itself. The probability that the mapping selected is one to one is


Three numbers are chosen from 1 to 20. The probability that they are not consecutive is


In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy two tickets.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×