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Two independent events are always mutual...

Two independent events are always mutually exclusive.

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Statement -1 : Mutually exclusive events, none of which being an impossible event, are not independent. Statement-2 : Non impossible independent events are not mutually exclusive.

Events Aa n dC are independent. If the probabilities relating A ,B ,a n dC are P(A)=1//5, P(B)=1//6; P(AnnC)=1//20 ; P(BuuC)=3//8. Then (a)events Ba n dC are independent (b)events Ba n dC are mutually exclusive events.(c) Ba n dC are neither independent nor mutually exclusive (d)events Ba n dC are equiprobable

Mutually exclusive events

If two events are independent then (a) They must be mutually exclusive (b) Sum of their probabilities must be equal to 1 (c) (a) and (b) are both correct (d) None of the above is correct

Two events A and B will be independent,if (A) A and B are mutually exclusive (B) P(A'B')=[1-P(A)][1-P(B)] (C) P(A)=P(B)P(A)+P(B)=1

Three coins are tossed.Describe (i) Two events which are mutually exclusive.(ii) Three events which are mutually exclusive and exhaustive.(iii) Two events,which are not mutually exclusive.(iv) Two events which are mutually exclusive but not exhaustive.(v) Three events which are mutually exclusive but not exhaustive.

Three coins are tossed. Describe i. Two events A and B which are mutually exclusive. ii. Two events A and B and C which are mutually exclusive and exhaustive iii. Three events A , B, and C which are mutually exclusive iv. Two events A and B which are mutually exclusive but not exhaustive.

Let A and B be two events such that p( bar AuuB)=1/6, p(AnnB)=1/4 and p( bar A)=1/4 , where bar A stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

Two dice are rolled. Let A, B, C be the events of getting a sum of 2, a sum of 3 and a sum of 4 respectively. Then, show that (i) A is a simple event (ii) B and C are compound events (iii) A and B are mutually exclusive

ML KHANNA-PROBABILITY-Self Assessment Test
  1. A person draws a card from a pack of playing cards, replaces it and sh...

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  2. If A and B are mutually exclusive events, then they will be independen...

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  3. Two independent events are always mutually exclusive.

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  4. Three letters are written to different persons and addressess to three...

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  5. The probability that a student is not a swimmer is 1/5. What is the pr...

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  6. Probability of throwing a 5 only on the first of two successive throws...

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  7. A fair coin is tossed repeatedly. If tail appears on first four tosses...

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  8. There are three works,one consisting of 3 volumes, one of 4, and the o...

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  9. A bag contains 4 white, 5 red and 6 black balls. Three are drawn at ra...

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  10. An urn contains 11 balls numbered from 1 to 11. if a ball is selected ...

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  11. The probability that a certain beginner at golf gets a good shot if he...

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  12. The probability that in the toss of two dice we obtain the sum 7 or 11...

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  13. Two dice are thrown. The probability that the sum of the points on two...

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  14. Two dice are thrown simultaneosly. The probability of obtaining a tota...

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  15. A can solve 75% of the problems of Mathematics and B can solve 70%. Wh...

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  16. A room has three lamp sockets. From a collection of 10 light bulbs of ...

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  17. One of the two events must occur. If the chance of one is 2/3 of th...

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  18. An arbitrary cube has four blank faces, one face marked 2 and another ...

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  19. An experiment succeeds twice as often as it fails. Find the probabi...

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  20. The probability that a marksman will hit a target is given as (1)/(5)....

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