हिंदी

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) - Mathematics

Advertisements
Advertisements

प्रश्न

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)
योग
Advertisements

उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Probability - Miscellaneous Exercise [पृष्ठ ४०९]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 16 Probability
Miscellaneous Exercise | Q 3 | पृष्ठ ४०९

संबंधित प्रश्न

A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine P(A or B).


In Class XI of a school 40% of the students study Mathematics and 30% study Biology. 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.


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?


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 a prime number


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 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 a total of 9 or 11


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 exactly two heads


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


Fill in the blank in the table:

P (A) P (B) P (A ∩ B) P(A∪ B)
0.35 .... 0.25 0.6

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) = 0.5, P(B) = 0.3 and P (A ∩ B) = 0.2, find P (A ∪ B).


There are three events ABC one of which must and only one can happen, the odds are 8 to 3 against A, 5 to 2 against B, find the odds against C


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


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

 

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

 
 

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


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


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


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


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 10 tickets.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×