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A, B, C are any three events. If P(S) de...

A, B, C are any three events. If P(S) denotes the probability of S happening, then `P(A cap (B cup C))`=

A

`P(A)+P(B)+P(C )-P(A cap B)-P(A cap C)`

B

`P(A)+P(B)+P(C )-P(B)P(C )`

C

`P(A cap B)+P(A cap C)-P(B)P(C )`

D

`P(A)+P(B)+P(C )`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PROBABILITY -Chapter Test
  1. A man alternately tosses a coin and throws a die beginning with the...

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  2. A and B are two independent events. The probability that A and B occur...

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  3. A, B, C are any three events. If P(S) denotes the probability of S hap...

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  4. In a class of 125 students 70 passed in Mathematics, 55 in Statistics,...

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  5. A box contains 10 mangoes out of which 4 are rotten. Two mangoes are t...

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  6. A lot consists of 12 good pencils , 6 with minor defects and 2 with ma...

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  7. 3 mangoes and 3 apples are in a box. If 2 fruits are chosen at random,...

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  8. There are 3 bags which are known to contain 2 white and 3 black, 4 ...

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  9. Among the workers in a factory only 30% receive bonus and among those ...

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  10. If two events Aa n dB are such that P(A^o)=0. 3 ,P(B)=0. 4 ,a n dP(...

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  11. An almirah stores 5 black and 4 white socks well mixed. A boy pulls ou...

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  12. There are 4 white and 4 black in a bag and 3 balls are drawn at random...

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  13. Cards are drawn one-by-one at random from a well-shuffled pack of 52 ...

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  14. Five different objects A1,A2,A3,A4,A5 are distributed randomly in 5 pl...

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  15. A father has 3 children with at least one boy. The probability that he...

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  16. Out of 13 applicants for a job, there are 5 women and 8 men. It is des...

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  17. A box contain 100 tickets numbered 1, 2,......, 100. Two tickets are c...

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  18. A wire of length l is cut into three pieces. Find the probability that...

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  19. If x in [0,5], then what is the probability that x^2 - 3x + 2 > 0

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  20. If ain[-20, 0], find the probability that the graph of the function y=...

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