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If two events are independent, then...

If two events are independent, then

A

they must be mutually exclusive

B

the sum of their probabilities must be equal to 1

C

Both (a) and (b) are correct

D

none of the above is correct

Text Solution

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To solve the question regarding independent events, we need to analyze the provided options based on the definition of independent events in probability. ### Step-by-Step Solution: 1. **Understanding Independent Events**: - Two events A and B are said to be independent if the occurrence of one does not affect the occurrence of the other. Mathematically, this is represented as: \[ P(A \cap B) = P(A) \cdot P(B) ...
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NCERT EXEMPLAR ENGLISH-PROBABILITY-Objective Type Questions
  1. If A and B are suchg that events that P(A)gt0andP(B)ne1, then P(A'//B'...

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  2. If A and B are two events with with P(A)=3/5 and P(B)=4/9, then P(A'ca...

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  3. If two events are independent, then

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  4. If A and B be two events such that P(A)=3/8,P(B)=5/8 and P(AcupB)=3/4 ...

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  5. If the events A and B are independent, then P(AcapB) is equal to

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  6. Two events E and F are independent. If P(E )=0.3 and P(EcupF)=0.5 then...

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  7. A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random ...

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  8. A bag containing 5 red and 3 blue balls. If 3 balls are drawn at rando...

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  9. Three persons A,B and C, fire at a target in turn, starting with A. Th...

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  10. Assume that in a family, each child is equally likely to be a boy or g...

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  11. If a die is thrown and a card is selected at random from a deck of pla...

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  12. A box contains 3 orange balls, 3 green balls and 2 blue balls. Three b...

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  13. A flashlight has 8 batteries out of which 3 are dead. If two batteries...

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  14. If eight coins are tossed together, then the probability of getting ex...

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  15. Two dice are thrown. If it is known that the sum of numbers on the dic...

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  16. Which one is not a requirement of a binomial distribution? There are 2...

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  17. If two cards are drawn from a well shuffled deck of 52 playing cards w...

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  18. The probability of guessing correctly atleast 8 out of 10 answers on a...

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  19. If the probability that a person is not a swimmer is 0.3, then the pro...

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  20. The probability distribution of a discrete random variable X is given ...

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