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if A and B be two events such that P(...

if `A` and `B` be two events such that `P(A)=1/4, P(B)=1/3` and `P(AuuB)=1/2,` show that `A` and `B` are independent events.

A

independent

B

dependent

C

mutually exclusive

D

None of these

Text Solution

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The correct Answer is:
A
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MODERN PUBLICATION-PROBABILITY-Objective Type Question (A. Multiple Choice Questions)
  1. If P(A)=0.8, P(B)=0.5 and P(B/A)=0.4, then find P(A/B)

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  2. If P(A)7/(13),P(B)=9/(13) and P(AnnB)=4/(13), find P(A/B)dot

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  3. if A and B be two events such that P(A)=1/4, P(B)=1/3 and P(AuuB)=1...

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  4. If P(A)=(1)/(2),P(B)=0, then P(A/B) is :

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  5. The probability of obtaining an even prime number on each die, when a...

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  6. If P (E) denotes probability of occurrence of event E, then :

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  7. If A and B are independent events, then :

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  8. The probability of obtaining an even prime number on each die, when a...

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  9. If Aa n dB are two events such that P(A)=0. 5 ,P(B)=0. 6a n dP(AuuB)=0...

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  10. If A and B are two independent events such that P(AuuB)=0. 60\ a n d\ ...

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  11. Two cards are drawn from a well shuffled deck of $2 cards with replace...

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  12. Events A and B are independent if

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  13. A pair of dice is thrown once, the probability of doublet is :

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  14. If P(A)=(1)/(2) and P(B)=0, then P(A//B) is equal to :

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  15. If A and B are events such that P(A//B)=P(B//A), then :

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  16. A die is rolled. If the outcome is an odd number, what is the proba...

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  17. If P(A)=(3)/(5) and P(B)=(1)/(5), then the value of P(A nn B) when A a...

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  18. If A and B are two independent events and P(A)=(1)/(4),P(B)=(1)/(3), t...

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  19. If P(A)=(1)/(2),P(B)=(3)/(8) and P(A nn B)=(1)/(5), then P(A//B) is eq...

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  20. If P(A]B) > P(A), then which of the following is correct: (A) P(B" ...

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