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

Long Answer Type

821.

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

80 Views

Short 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').

93 Views

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)

100 Views

Short 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?

Number of black balls = 10
Number of white balls = 5
∴ total number of balls = 10 + 5 = 15
Let E and F denote respectively the events that first and second ball drawn are black.
Now P(E) = P(black ball in first draw) = $10 over 15$
Since there is no replacement
$therefore space space space straight P left parenthesis straight E vertical line straight F right parenthesis space equals space 9 over 14$
By multiplication rule of probability,
$straight P left parenthesis straight E intersection straight F right parenthesis space equals space straight P left parenthesis straight E right parenthesis space straight P left parenthesis straight F vertical line straight E right parenthesis space equals space 10 over 15 cross times 9 over 14 space equals 3 over 7$

122 Views

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.

88 Views

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.

77 Views

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.

76 Views

828. A die is tossed twice. Find, the probability of ‘a number greater than 4’ on each dice.

90 Views

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.

100 Views

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.

127 Views