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If A and B are two events such P(A)=1/...

If A and B are two events such
`P(A)=1/2,P(B)=1/3and P(AcapB)=1/4`,then find
(i) P(A/B). (ii) P(B/A).
(iii) P(A'/B). (iv) P(A'/B').

Text Solution

AI Generated Solution

To solve the problem, we need to find the probabilities for the given events A and B using the provided values: - \( P(A) = \frac{1}{2} \) - \( P(B) = \frac{1}{3} \) - \( P(A \cap B) = \frac{1}{4} \) We will find the following: ...
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NCERT EXEMPLAR-PROBABILITY-Probability
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  2. Explain why the experiment of tossing a coin three times is said to ha...

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  3. If A and B are two events such P(A)=1/2,P(B)=1/3and P(AcapB)=1/4,the...

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  4. Three events A, B and C have probalities 2/5,1/3 and 1/2, respectively...

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  5. Let E(1) and E(2) be two independent events such that P(E(1))=P(1) and...

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  6. A discrete random variable X has the probability distribution as given...

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  7. Prove that (i) P(A)=P(AcapB)+P(AcapbarB) (ii) P(AcupB)=P(AcapB)+P(...

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  8. If x is the number of tails in three tosses of a coin, then determine ...

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  9. In a dice game , a player pays a stake of ₹1 for each throw of a die. ...

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  11. Suppose 10000 tickets are sold in a lottery each for ₹ 1. First prize ...

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  12. A bag contains 4 white and 5 black balls. Another bag contains 9 white...

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  13. A bag contains 3 white and 2 black balls and another bag contains 2 ...

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  14. A box has 5 blue and 4 red balls. One ball is drawn at random and repl...

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  15. Four cards are successively drawn without replacement from a deck of 5...

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  16. If a die is thrown 5 times, then find the probability that an odd numb...

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  17. If ten coins are tossed, then what is the probability of getting atlea...

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  18. The probability of a man hitting man hitting target is 0.25. If he sho...

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