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In each of the Exercises choose the cor...

In each of the Exercises choose the correct answer:If `P(A) =1/2`, `P (B) = 0`, then `P (A|B)`is

A

`0`

B

`1/2`

C

not defined

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
(c)
Given that
`P(A)=1/2` and `P(B)=0`
`P(A//B)=(P(AnnB))/(P(B))=(P(AnnB))/0=oo`
Therefore `P(A/B)` is not defined.
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NAGEEN PRAKASHAN ENGLISH-PROBABIILITY-Exercise 13.1
  1. Given that E and F are events such that P (E) = 0. 6, P (F) = 0. 6, P...

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  2. Compute P(A|B). if P(B) = 0. 5and P(AnnB)= 0. 32

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  3. If P (A) = 0. 8, P(B) = 0. 5and P(B|A) = 0. 4, find (i) P(AnnB) (ii) ...

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  4. Evaluate P(AuuB), if 2P(A) = P(B) =5/(13)and P(A|B) =2/5

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  5. If P (A) =6/(11), P(B) =5/(11)and P(AuuB)=7/(11), find(i) P(AnnB) (ii)...

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  6. A coin is tossed three times. Find P(A//B) in each of the following: A...

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  7. Two coins are tossed once. P(E//F) in each of the following: E= Tail a...

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  8. Determine P (E|F) in : A die is thrown three times, E : 4 appears on t...

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  9. Determine P (E|F) in : Mother father and son line up at random for ...

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  10. A black and a red dice are rolled. (a) Find the conditional probab...

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  11. A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3}and G ...

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  12. Assume that each child born is equally likely to be a boy or a girl. I...

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  13. An instructor has a test bank consisting of 300 easy True/False que...

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  14. Given that the two number appearing on throwing two dice are different...

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  15. Consider the experiment of throwing a die if a multiple of 3 comes up,...

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  16. In each of the Exercises choose the correct answer:If P(A) =1/2, P (B...

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  17. If A and B are two events such that A nn B !> phi, p(A/B) = P(B/A). Th...

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