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If P (A) = 0. 8, P(B) = 0. 5and P(B|A) =...

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

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Given,
`(i)P(B/A)=0.4`
`∴(P(A∩B))/(P(A))=0.4`
`=>(P(A∩B))/0.8=0.4`
`=>P(A∩B)=0.32`
`(ii)P(A/B)=(P(A∩B))/(P(B))`
`=>P(A/B)=0.32/0.5=0.64`
`(iii)P(A∪B)=P(A)+P(B)-P(A∩B)`
...
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NCERT-PROBABILITY-EXERCISE 13.1
  1. Consider the experiment of throwing a die. if a multiple of 3 comes t...

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  2. Given that the two numbers appearing on throwing two dice are differe...

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  3. In each of the Exercises choose the correct answer. If A and B are ev...

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

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

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  6. A black and a red dice are rolled.(a)   Find the conditional probabil...

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  7. An instructor has a question bank consisting of 300 easy True / False...

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

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

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

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

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

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  13. Given that E and F are events such that P (E) = 0. 6, P (F) = 0. 6, P...

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

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

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  16. Determine P (E|F)in :A coin is tossed three times, where (i) E : Head...

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  17. Determine P (E|F)in :Two coins are tossed once, where(i) E: tail appe...

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