मराठी

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)

Advertisements
Advertisements

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 (not B)

बेरीज
Advertisements

उत्तर

P(A) = 0.42, P(B) = 0.48

P(A and B) = P(A ∩ B) = 0.16

P(not B) = P(B’) = 1 – P(B)

= 1 – 0.48

= 0.52

shaalaa.com
Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Probability - EXERCISE 14.2 [पृष्ठ ३०७]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 14 Probability
EXERCISE 14.2 | Q 17. (ii) | पृष्ठ ३०७

संबंधित प्रश्‍न

If `2/11` is the probability of an event, what is the probability of the event ‘not A’.


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 A).


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.


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


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 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 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


In a simultaneous throw of a pair of dice, find the probability of getting a number greater than 4 on each die


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.

 

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 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?


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 .


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).

 


A card is drawn from a deck of 52 cards. Find the probability of getting an ace or a spade card.


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?


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


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


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


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.


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×