मराठी

A Dice is Thrown. Find the Probability of Getting: (I) a Prime Number

Advertisements
Advertisements

प्रश्न

A dice is thrown. Find the probability of getting a prime number

Advertisements

उत्तर

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

 Let A be the event of occurrence of a prime number.
    Then A = {2, 3, 5}
    i.e. n (A) = 3

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

 

shaalaa.com
Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 33: Probability - Exercise 33.3 [पृष्ठ ४५]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
पाठ 33 Probability
Exercise 33.3 | Q 1.1 | पृष्ठ ४५

संबंधित प्रश्‍न

If E and F are events such that P(E) = `1/4`, P(F) = `1/2` and P(E and F) = `1/8`, find

  1. P(E or F)
  2. P(not E and not F).

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 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.


Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that

  1. you both enter the same sections?
  2. you both enter the different sections?

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 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 neither 9 nor 11 as the sum of the numbers on the faces


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


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

 

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


Three coins are tossed together. Find the probability of getting at least one head and one tail.

 

Two dice are thrown. Find the odds in favour of getting the sum 5.

 

 


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


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 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 white and odd numbered .


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


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 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.


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?


Find the probability of getting 2 or 3 tails when a coin is tossed four times.

 

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


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


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


Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, 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


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


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×