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

1031. A coin is tossed 6 times. What is the probability of getting at least two heads?

85 Views

1032. A coin is tossed 6 times. What is the probability of getting at least four heads?

96 Views

1033. A coin is tossed 5 times. What is the probabilities of obtaining at least 2 tails?

88 Views

1034. A fair coin is tossed 7 times. Find the probability of obtaining at least 5 tails.

88 Views

1035. A coin is tossed 3 times. Find the probability of at least two heads.

87 Views

1036. A die is thrown 5 times. If getting an odd number is success, find the probability of getting at least 4 successes.

88 Views

1037. A die is thrown 6 times. If getting an odd number is a success, what is the probability of at least 5 successes?

92 Views

1038. A die is thrown 6 times. Getting a number greater than 4 is considered a success. Find the probability of at least two successes.

Here n = 6
Let p be the probability of getting 5 or 6
$therefore space space space straight p space equals space straight P left parenthesis 5 space or space 6 right parenthesis space equals space 1 over 6 plus 1 over 6 space equals 2 over 6 space equals 1 third comma space space straight q space equals space 1 minus straight p space equals space 1 minus 1 third equals space 2 over 3$
P(at least two successes) = 1 - P(0) + P(1)
$equals space 1 minus open square brackets straight C presuperscript 6 subscript 0 open parentheses 2 over 3 close parentheses to the power of 6 space plus space straight C presuperscript 6 subscript 1 space open parentheses 2 over 3 close parentheses to the power of 5 space open parentheses 1 third close parentheses close square brackets space equals space 1 minus space open square brackets 1 space cross times 64 over 729 plus 192 over 729 close square brackets space equals 1 minus fraction numerator 64 plus 192 over denominator 729 end fraction equals space 1 minus 256 over 729 space equals 473 over 729 space$

90 Views

1039. An unbiased die is thrown 3 times. If getting a 2 or 5 is considered a success, find the probability of at least 2 successes.

112 Views

1040. Five dice are thrown simultaneously. If the occurrence of 3, 4 or 5 in a single die is considered a success, find the probability of at least three successes.

206 Views