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