Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Probability

Short Answer Type

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.

164 Views

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).

76 Views

803. Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find P(A and B).

90 Views

804. Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find P(A and not B).

89 Views

805. Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find P(A or B).

106 Views

806. Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find P(neither A nor B)

76 Views

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?

S = {1, 2, 3, 4, 5, 6}
E = {3, 6}, F = {2, 4, 6}, $straight E intersection straight F space equals space open curly brackets 6 close curly brackets$
$therefore space space space straight P left parenthesis straight E right parenthesis equals space space 2 over 6 space equals 1 third comma space space space straight P left parenthesis straight F right parenthesis space equals 3 over 6 space equals space 1 half comma space space straight P left parenthesis straight E space intersection space straight F right parenthesis space equals space 1 over 6$

Since P(E and F) = $1 over 6 space equals 1 third cross times 1 half space equals space straight P left parenthesis straight E right parenthesis space cross times space straight P left parenthesis straight F right parenthesis$
∴ the events E and F are independent events.

91 Views

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.

163 Views

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) .

94 Views

810.

79 Views