Important Questions of Probability Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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801.

If P(A) = 3 over 5 and straight P left parenthesis straight B right parenthesis space equals space 1 third comma find:
(i) P(A or B), if A and B are mutually exclusive events.
(ii) P (A and B), if A and B are independent events.

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802. If A and B are two events such that straight P left parenthesis straight A right parenthesis space equals space 1 fourth comma space space straight P left parenthesis straight B right parenthesis space equals space 1 half space and space straight P left parenthesis straight A intersection straight B right parenthesis space equals space 1 over 8 comma find P(not A and not B).
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803. Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find P(A and B).
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804. Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find P(A and not B).
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805. Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find P(A or B).
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806. Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find P(neither A nor B)
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807. A die is thrown. If E is the event ‘the number appearing is a multiple of 3’ and F be the event ‘the number appearing is even’ then find whether E and F are independent?
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808. An unbiased die is thrown twice. Let the event A be ‘odd number on the first throw’ and B the event ‘odd number on the second throw’. Check the independence of the events A and B.
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809.

If straight P left parenthesis straight A right parenthesis space equals space 6 over 11 comma space space straight P left parenthesis straight B right parenthesis space equals space 5 over 11 space and space straight P left parenthesis straight A union straight B right parenthesis space equals space 7 over 11 comma find P(A | B) .

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810.

If straight P left parenthesis straight A right parenthesis space equals space 6 over 11 comma space space straight P left parenthesis straight B right parenthesis space equals space 5 over 11 space and space straight P left parenthesis straight A union straight B right parenthesis space equals space 7 over 11 comma find P(B | A)

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