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) - Mathematics

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

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
Probability - Probability of 'Not', 'And' and 'Or' Events
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Probability - Exercise 16.3 [पृष्ठ ४०५]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 16 Probability
Exercise 16.3 | Q 17.2 | पृष्ठ ४०५

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).


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 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 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 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 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 more than 7


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


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.

 

 


Fill in the blank in the table:

P (A) P (B) P (A ∩ B) P(A∪ B)
\[\frac{1}{3}\] \[\frac{1}{5}\] \[\frac{1}{15}\] ......

Fill in the blank in the table:

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

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).


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?


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 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


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


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×