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For the three events "A","B","andC","P"(...

For the three events `"A","B","andC","P"("e x a c t l yo n eo ft h ee v e n t sAorBo c c u r s")="P"("e x a c t l yo n eo ft h ee v e n t sBorCo c c u r s")="P"("e x a c t l yo n eo ft h ee v e n t sCandAo c c u r s")="p"` and`"P"("a l lt h et h r e ee v e n t so c c u rs i m u l t a n e o u s l y")="p"^2,"w h e r e"0<"p"<1//2.` Then, find the probability of occurrence of at least one of the three events `A ,B ,a n dCdot`

A

`(3p+2p^(2))/(2)`

B

`(p+3p^(2))/(4)`

C

`(p+3p^(2))/(2)`

D

`(3p+2p^(2))/(4)`

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The correct Answer is:
A
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ML KHANNA-PROBABILITY-Self Assessment Test
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  2. If 0 lt P(A) lt 1, 0 lt P(B) lt 1 and P(A cup B)=P(A)+P(B)-P(A)P(B), ...

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  3. For the three events "A","B","andC","P"("e x a c t l yo n eo ft h ee v...

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  4. For a biased die, the probabilities for the different faces to turn up...

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  5. A biased die is tossed and the respective probabilities for various fa...

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  6. Three identical dice are rolled. The probability that same number appe...

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  7. A letter is known to have come either from LONDON or CLIFTON, on the p...

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  8. A card from a pack 52 cards is lost. From the remaining cards , two ca...

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  9. The probability that in the toss of two dice we obtain an even sum or ...

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  10. A determinant is chosen at random from the set of all determinants of ...

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  11. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

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  12. One ticket is selected at ransom form 50 tickets numbered 00,01,02,…,4...

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  13. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

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  14. Four fair dice D(1),D(2),D(2) and D(4) each having six faces numbered...

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  15. An urn contains nine balls of which three are red, four are blue and t...

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  16. Three numbers are chosen at random without replacement from {1, 2, 3, ...

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  17. A single which can can be green or red with probability 4/5 and 1/5 re...

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  18. Consider 5 independent Bernoulli.s trials each with probability of ...

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  19. Let omega be a complex cube root unity with omega!=1. A fair die is th...

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  20. Let E and F be two independent events. The probability that exactly on...

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