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If E is an event associated with an experiment, find the value of `P(E)+P(E^c)`.

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Fill ups If E is any event associated with an experiment, then P(either E or E^c occurs)=………….. .

True or false If E be an event associated with an experiment then P(E')=1-P(E).

True or false If E_1, E_2, E_3 events associated with an experiment, then P(E_3)=P(E_3/E_1)P(E_1)P(E_3/E_2)P(E_2) .

Fill ups If A is any event associated with an experiment then P (both A and B' occur)=…………… .

If E_1 and E_2 are two independent events associated with an experiment, then show that P(E_1cupE_2)=1-P(E_1^c)P(E_2^c)

If E and F are inedependent events associated with an experiment then P(E/F) = ___________.

True or false If A and B are independent events associated with an experiment, then P(AcapB)=P(A)+P(B) .

If A,B,C are mutually exclusive and exhausive events associated with an experiment, then P(A)+P(B)+P( C)=1.

If E_1 and E_2 are independent events associated with an experiment such that P(E_1)=P_1 and P(E_2)=P_2 . Find P( neither E_1 nor E_2) .

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PRADEEP PUBLICATION-PROBABILITY-EXERCISE
  1. What is the number of sample points in a simple event associated with ...

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  2. If E1, E2, E3 are mutually exclusive and exhausive events then what is...

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  3. If E is an event associated with an experiment, find the value of P(E)...

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  4. A two digit number is selected at random. Find the number selected is ...

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  5. A letter from the English alphabet is seleted at random. Find the chan...

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  6. E1 and E2 are equally likely events associated with an experiment. If ...

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  7. If E1 and E2 are independent events associated with an experiment and ...

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  8. If E1 and E2 are mutually exclusive, then write down the value of P(E1...

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  9. If E1 and E2=phi are any two events associated with an experiment and ...

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  10. A decimal numeral from (0,1,2,3,4,5,6,7,8,9) is selected at random. Fi...

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  11. If P(E2)=1/9, P(E2//E1)=3/5, P(E1//E2)=3/4 then find P(E1).

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  12. If E1 and E2 mutually exclusive, then find P(E1//E2).

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  13. If E1 and E2 are independent events such that P(E1)=1/3 and P(E2)=1/6 ...

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  14. The probability of occurrence of an event A is 0.5 and that of B is 0....

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  15. If X is the numebr of tails in three tosses of a coin, determine the s...

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  16. A bag contains 5 red marbles and 3 black marbles. Three marbles are dr...

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  17. Three dice are thrown at the same time. Find the probability of gettin...

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  18. Four cards are successively drawn without replacement from a deck of 5...

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  19. A die is thrown 5 times. Find the probability that an odd number will ...

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  20. Prove that P(A)=P(AcupB)+P(AcapB), where A and B are any two events as...

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