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Let A, B and C be three events such that...

Let A, B and C be three events such that `P(A)=0.3, P(B)=0.4, P(C )=0.8, P(A cap B)=0.08, P(A cap C) =0.28, P(A cap B cap C)=0.09`. If `P(A cup B cup C) ge 0.75`, then show that `P(B cap C)` satisfies

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A,B,C are events such that P(A)=0.3,P(B)=0.4,PC )=0.8,P(A cap B)=0.8,P(A cap C) =0.28, P(A cap B cap C)=0.09 . If 0.75 le P( A cup B cup C) le 1 , then P(B cap C) may be

Let A,B,C be three events such that P(A)=0.3,P(B)=0.4,P(C)=0.8,P(A nn B)=0.88,P(A nn C)=0.28,P(A nn B nn C)=0.09 If P(A uu B uu C)>=0.75, then show that 0.23<=P(B nn C)<=0.48.

A, B and C are events associated with a random experiment such that P(A) = 0.3, P(B) = 0.4, P(C) = 0.8, P(AcapB) = 0.08, P(A cap C) =0.28 and P(AcapBcapC) = 0.09. If P(AcupBcupC) ge 0.75 Then prove that P(B cap C) lies in the interval [0.23, 0.48] .

A,B,C are three events for which P(A)=0.4,P(B)=0.6,P(C ) =0.5 , P( A cup B)=0.75, P(A cap C) =0.35 and P(A cap B cap C)= 0.2 if P(A cup B cup C) le 0.75 , then P(B cap C) can take values.

If A, B, C are events such that P(A) = 0.3, P(B) =0.4, P( C) = 0.8, P(A^B) = 0.09, P(A^C) = 0.28, P(A^B^C) = 0.08. If P(AcupBcupC)ge0.75 then P(B^C) lies in the interval

Let A and B be two events such that P(A)=0.3 and P(AcupB)= 0.8 . Find P(B), if P(Acap B) = P(A) P(B) .

A,B,C are events such that P_(r )(A)=0.3, P_(r )(B)=0.4,P_(r )(C )=0.8 P_(r ) (AB)=0.08, P_(r )(AC )=0.28 and P_(r )(B)=0.4, P_(r )(C )=0.8 If P_(r )(A cup B cup C) ge 0.75 , then show that P_(r )(BC ) lies in the interval [0.23,0.48].

The probabilities of three events A,B,C are such that P(A)=0.3, P(B)=0.4, P(C)=0.8,P(A nn B)=0.09, P(Ann C) = 0.28, P(A nn B nn C) 0.08 and P(Auu B uu C) leq 0.75.Show that P(B nn C) lies in the interval [0.21, 0.46].

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let A, B and C be three events such that P(A)=0.3, P(B)=0.4, P(C )=0.8...

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  2. A person goes to office either by car, scooter, bus or train probabili...

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  3. A six faced fair die is thrown until 1 comes. Then , the probability t...

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  4. Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...

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  5. Three houses are available in a locality. Three persons apply for the ...

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  6. A randam variable X has Poisson's distribution with mean 2. Then , P(X...

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  7. There are n urns each containing (n+1) balls such that ith urn contain...

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  8. In a telephone enquiry system, the number of phone calls regarding rel...

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  9. One Indian and four American men and their wives are to be seated rand...

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  10. Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...

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  11. Let E^c denote the complement of an event E. Let E,F,G be pairwise ind...

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  12. A pair of fair dice is thrown independently three times. The probab...

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  13. Two aeroplanes I and II bomb a target in succession. The probabilit...

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

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  15. Consider the system of equations ax + by = 0; cx + dy = 0, where a, b,...

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  16. A die is thrown. Let A be the event that the number obtained is gre...

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  17. It is given that the events A and B are such that P(A)=(1)/(4),P((A)/(...

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  18. A fair die is tossed repeatedly until a six is obtained Let X denote t...

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  19. A fair die is tossed repeated until a six is obtained. Let X denote th...

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  20. A fair die is tossed repeatedly until a six obtained. Let X denote the...

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

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