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

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प्रश्न

Choose the correct alternative:

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

पर्याय

  • `"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
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उत्तर

`"P"("A" ∩ bar"B") + P(bar"A" ∩ "B")

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पाठ 12: Introduction to probability theory - Exercise 12.5 [पृष्ठ २६५]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 12 Introduction to probability theory
Exercise 12.5 | Q 4 | पृष्ठ २६५

संबंधित प्रश्‍न

If P(A) = 0.8, P(B) = 0.5 and P(B|A) = 0.4, find P(A|B)


Determine P(E|F).

A coin is tossed three times, where

E: head on third toss, F: heads on first two tosses


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


An instructor has a question bank consisting of 300 easy True/False questions, 200 difficult True/False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple-choice question?


Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probability of the event ‘the coin shows a tail’, given that ‘at least one die shows a 3’.


A card is drawn from a well-shuffled pack of playing cards. What is the probability that it is either a spade or an ace or both? 


Five dice are thrown simultaneously. If the occurrence of an odd number in a single dice is considered a success, find the probability of maximum three successes.


In a college, 70% of students pass in Physics, 75% pass in Mathematics and 10% of students fail in both. One student is chosen at random. What is the probability that:
(i) He passes in Physics and Mathematics?
(ii) He passes in Mathematics given that he passes in Physics.
(iii) He passes in Physics given that he passes in Mathematics.


Two dice are thrown simultaneously, If at least one of the dice show a number 5, what is the probability that sum of the numbers on two dice is 9?


From a pack of well-shuffled cards, two cards are drawn at random. Find the probability that both the cards are diamonds when first card drawn is kept aside


Select the correct option from the given alternatives :

Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. The probability that it was drawn from Bag II


Choose the correct alternative:

A letter is taken at random from the letters of the word ‘ASSISTANT’ and another letter is taken at random from the letters of the word ‘STATISTICS’. The probability that the selected letters are the same is


In a multiple-choice question, there are three options out of which only one is correct. A person is guessing the answer at random. If there are 7 such questions, then the probability that he will get exactly 4 correct answers is ______ 


If P(A) = `2/5`, P(B) = `3/10` and P(A ∩ B) = `1/5`, then P(A|B).P(B'|A') is equal to ______.


For a biased dice, the probability for the different faces to turn up are

Face 1 2 3 4 5 6
P 0.10 0.32 0.21 0.15 0.05 0.17

The dice is tossed and it is told that either the face 1 or face 2 has shown up, then the probability that it is face 1, is ______.


If P(B) = `3/5`, P(A | B) = `1/2` and P(A ∪ B) = `4/5`, then P(A ∪ B) + P(A' ∪ B) =


A family has two children, with b for boy and g for girl. Which sample space lists all four equally likely ordered outcomes?


Which statement correctly describes the numerator in \[P(A\mid B)=\frac{P(A\cap B)}{P(B)}\]?


For independent events, which equality holds provided \[P(B)\neq 0\]?


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