Important Questions of Probability Mathematics | Zigya

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 Multiple Choice QuestionsLong Answer Type

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821.

Prove that if E and F are independent events,  then so are the events E and F'.

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 Multiple Choice QuestionsShort Answer Type

822. If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by 1 - P(A') P(B').
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 Multiple Choice QuestionsMultiple Choice Questions

823.

Two events A and B will be independent, if

  • A and B are mutually exclusive
  • P(A'B') = [1 - P(A)] [1 - P(B)]
  • P(A) = P(B)
  • P(A) = P(B)
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 Multiple Choice QuestionsShort Answer Type

824. An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?
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825. Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.
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826. An unbiased die is thrown. Find the probability of getting 4, 5 or 6 in the first throw and 1, 2, 3 or 4 in the second throw.
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827. Two dice are thrown. Find the probability of getting an odd number on the first die and a multiple of 3 on the other.
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828. A die is tossed twice. Find, the probability of ‘a number greater than 4’ on each dice.
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829. A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. Find the probability of obtaining two tails.
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830. A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. Find the probability of obtaining  head and a number 6.
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