English

A Dice is Thrown. Find the Probability of Getting:(Ii) 2 Or 4 - Mathematics

Advertisements
Advertisements

Question

A dice is thrown. Find the probability of getting:

 2 or 4

Advertisements

Solution

The sample space of the given experiment is given by
S = {1, 2, 3, 4, 5, 6}
∴ (S) = 6

Let B be the event of occurrence of the number 2 or 4.
     Then B = {2,4}
     i.e. n (B) = 2

\[\therefore P\left( B \right) = \frac{\text{ Number of outcomes favourable to B} }{\text{ Total number of possible outcomes }} = \frac{n\left( B \right)}{n\left( S \right)} = \frac{2}{6} = \frac{1}{3}\]

shaalaa.com
Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
  Is there an error in this question or solution?
Chapter 33: Probability - Exercise 33.3 [Page 45]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 33 Probability
Exercise 33.3 | Q 1.2 | Page 45

RELATED QUESTIONS

A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is

  1. a vowel
  2. an consonant

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.


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 sum greater than 9


In a simultaneous throw of a pair of dice, find the probability of getting  an even number on first


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 less than 7


In a simultaneous throw of a pair of dice, find the probability of getting neither a doublet nor a total of 10


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


In a simultaneous throw of a pair of dice, find the probability of getting a total greater than 8.

 

In a single throw of three dice, find the probability of getting a total of 17 or 18.

 

Three coins are tossed together. Find the probability of getting exactly two heads


Two dice are thrown. Find the odds in favour of getting the sum  What are the odds against getting the sum 6?


A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn at random. From the box, what is the probability that  at least one is green?


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 white .


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 even numbered


If and B are two events associated with a random experiment such that P(A) = 0.3, P (B) = 0.4 and P (A ∪ B) = 0.5, find P (A ∩ B).


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).

 


One of the two events must happen. Given that the chance of one is two-third of the other, find the odds in favour of the other.


In a single throw of two dice, find the probability that neither a doublet nor a total of 9 will appear.


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?


100 students appeared for two examination, 60 passed the first, 50 passed the second and 30 passed both. Find the probability that a student selected at random has passed at least one examination.


In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95. What is the probability of passing both?


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


If the probability of A to fail in an examination is \[\frac{1}{5}\]  and that of B is \[\frac{3}{10}\] . Then, the probability that either A or B fails 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


Two dice are thrown simultaneously. The probability of getting a pair of aces 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


A box contains 10 good articles and 6 with defects. One item is drawn at random. The probability that it is either good or has a defect is


A box contains 6 nails and 10 nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random, the probability that it is rusted or is a nail 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 10 tickets.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×