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

1061. An unbiased coin is tossed six times. Find the probability of obtaining at least 2 heads.

81 Views

1062. In a box containing 100 bulbs, 10 are defective. What is the probabilities that out of a sample of 5 bulbs
(i) none is defective (ii) exactly two are defective.

106 Views

1063. If “getting a 6” in a throw of an unbiased die is a success and the random variable x denotes the number of successes in five throws of the die, find P (2 < x < 5)

92 Views

1064. If “getting a 5 or a 6” in the throw of an unbiased die is a success and the random variable x denotes the number of successes in 6 throws of the die, find P (x ≤ 4).

Here n = 5
p = (Probability of getting 5 or 6) = $1 over 6 plus 1 over 6 space equals 1 third comma space space space straight q space equals space 1 minus 1 third space equals 2 over 3$
$straight P left parenthesis straight x space less or equal than space 4 right parenthesis space equals space 1 minus space left square bracket straight P left parenthesis 5 right parenthesis space plus space straight P left parenthesis 6 right parenthesis right square bracket space equals space 1 minus open square brackets straight C presuperscript 6 subscript 5 space open parentheses 2 over 3 close parentheses space open parentheses 1 third close parentheses to the power of 5 space plus space straight C presuperscript 6 subscript 6 space open parentheses 1 third close parentheses to the power of 6 close square brackets space equals space 1 minus space open square brackets 6 over 1 cross times space 2 over 729 plus 1 space cross times space 1 over 729 close square brackets space equals space 1 minus open parentheses 12 over 729 plus 1 over 729 close parentheses space equals space 1 minus 13 over 729 space equals 716 over 729$

97 Views

Long Answer Type

1065. A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the dice.

286 Views

Short Answer Type

1066. Eight coins are thrown simultaneously. Find the probability of getting at least six heads.

436 Views

Long Answer Type

1067.

A pair of dice is thrown 7 times. If getting a total of 7 is considered a success, what is the probability of
(i) no success? (ii) 6 successes? (iii) at least 6 successes? (iv) at most 6 successes?

128 Views