English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: If A and B are any two events, then the probability that exactly one of them occur is - Mathematics

Advertisements
Advertisements

Question

Choose the correct alternative:

If A and B are any two events, then the probability that exactly one of them occur is

Options

  • `"P"("A" ∪ bar"B") + P(bar"A" ∪ "B")`

  • `"P"("A" ∩ bar"B") + P(bar"A" ∩ "B")

  • P(A) + P(B) – P(A ∩ B)

  • P(A) + P(B) + 2P(A ∩ B)

MCQ

Solution

`"P"("A" ∩ bar"B") + P(bar"A" ∩ "B")

shaalaa.com
  Is there an error in this question or solution?
Chapter 12: Introduction to probability theory - Exercise 12.5 [Page 265]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 12 Introduction to probability theory
Exercise 12.5 | Q 4 | Page 265

RELATED QUESTIONS

40% students of a college reside in hostel and the remaining reside outside. At the end of the year, 50% of the hostelers got A grade while from outside students, only 30% got A grade in the examination. At the end of the year, a student of the college was chosen at random and was found to have gotten A grade. What is the probability that the selected student was a hosteler ?


Determine P(E|F).

Two coins are tossed once, where 

E: no tail appears, F: no head appears


A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3} and G = {2, 3, 4, 5} Find P ((E ∪ F)|G) and P ((E ∩ G)|G)


Given that the two numbers appearing on throwing the two dice are different. Find the probability of the event ‘the sum of numbers on the dice is 4’.


Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that

  1. both balls are red.
  2. first ball is black and second is red.
  3. one of them is black and other is red.

In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins/loses.


Three cards are drawn at random (without replacement) from a well-shuffled pack of 52 playing cards. Find the probability distribution of the number of red cards. Hence, find the mean of the distribution.


If events A and B are independent, such that `P(A)= 3/5`,  `P(B)=2/3` 'find P(A ∪ B).


In an examination, 30% of students have failed in subject I, 20% of the students have failed in subject II and 10% have failed in both subject I and subject II. A student is selected at random, what is the probability that the student has failed in at least one subject?


Can two events be mutually exclusive and independent simultaneously?


If A and B are two events such that P(A ∪ B) = 0.7, P(A ∩ B) = 0.2, and P(B) = 0.5, then show that A and B are independent


One bag contains 5 white and 3 black balls. Another bag contains 4 white and 6 black balls. If one ball is drawn from each bag, find the probability that both are black


If X denotes the number of ones in five consecutive throws of a dice, then P(X = 4) is ______ 


Three machines E1, E2, E3 in a certain factory produced 50%, 25% and 25%, respectively, of the total daily output of electric tubes. It is known that 4% of the tubes produced one each of machines E1 and E2 are defective, and that 5% of those produced on E3 are defective. If one tube is picked up at random from a day’s production, calculate the probability that it is defective.


If A and B are two events such that P(A) = `1/3`, P(B) = `1/5` and P(A ∪ B) = `1/2`, then P(A|B') + P(B|A') is equal to ______.


Let A, B be two events such that the probability of A is `3/10` and conditional probability of A given B is `1/2`. The probability that exactly one of the events A or B happen equals.


If for any two events A and B, P(A) = `4/5` and P(A ∩ B) = `7/10`, then `P(B/A)` is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×