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.

1011. Five cards are drawn successively with replacement from a well shuffled deck of 52 cards. What is the probability that
(i) all the five cards are spades?
(ii) only 3 cards are spades?
(iii) none is a spade?

83 Views

1012. Find the probability of throwing at most 2 sixes in 6 throws of a single die.

101 Views

1013. The probability of a man hitting a target is

1 fourth.

He fires 7 times. What is the probability of his hitting at least twice the target?

95 Views

1014. The probability that a man hits a target when he fires is

1 fifth.

If he fires 10 rounds, what is the probability of his hitting the target at least twice?

88 Views

1015. In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is

5 over 6.

What is the probability that the will knock down fewer than 2 hurdles?

143 Views

1016. A policeman fires 6 bullets on a dacoit. The probability that the dacoit will be killed by a bullet is 0·6. What is the probability that the dacoit is still alive?

242 Views

1017. A student is given a true-false examination with 8 questions. If he gets 6 or more correct answers, he passes the examination. Given that the guesses at the answer to each question, compute the probability that he passes the examination.

91 Views

1018. An experiment succeeds twice as often as it fails. Find the probability that in the next six trials, there will be at least 4 successes.

84 Views

1019. Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.

Here n = 10
$straight p space equals 10 over 100 equals 1 over 10 comma space space straight q space equals space 1 minus straight p space equals space 1 minus 1 over 10 space equals 9 over 10$
P(at least one defective egg) = 1 - P(0) = $1 minus straight C presuperscript 10 subscript 0 open parentheses 9 over 10 close parentheses to the power of 10 space equals space 1 minus open parentheses 9 over 10 close parentheses to the power of 10.$

99 Views

1020. A die is thrown 6 times. If ‘getting an odd number” is a success, what is the probability of
(i) 5 successes? (ii) at least 5 successes? (iii) at most 5 successes?

107 Views

Previous Year Papers

Test Series

Test Yourself

Probability

Short Answer Type

1019. Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.