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

1021. The probability that a bulb produced by a factory will fuse after 150 days of use is 0·05. Find the probability that out of 5 such bulbs more than one will fuse after 150 days of use.

108 Views

1022. The probability that a bulb produced by a factory will fuse after 150 days of use is 0·05. Find the probability that out of 5 such bulbs at least one will fuse after 150 days of use.

92 Views

1023. The probability that a bulb produced by a factory will fuse after 150 days of use is 0·05. Find the probability that out of 5 such bulbs none will fuse after 150 days of use.

84 Views

1024. The probabilities that a bulb produced by a factory will fuse after 160 days is 0·06. Find the probability that out of 5 such bulbs, at the most one bulb will fuse after 160 days of use.

Here n = 5, p = 0.06 = $6 over 100 space equals space 3 over 50 comma space space space straight q space equals space 1 space minus space straight p space equals space 1 minus 3 over 50 space equals space 47 over 50$
P(at most one bulb will fuse) = P(0) + P(1)
$equals space straight C presuperscript 5 subscript 0 open parentheses 47 over 50 close parentheses to the power of 5 space plus space straight C presuperscript 5 subscript 1 open parentheses 47 over 50 close parentheses to the power of 4 space open parentheses 3 over 50 close parentheses space equals space open parentheses 47 over 50 close parentheses to the power of 4 space open square brackets 1 space cross times space 47 over 50 plus 15 over 50 close square brackets space equals space open parentheses 47 over 50 close parentheses to the power of 4 space cross times 62 over 50 space equals space 0.9681$

85 Views

1025. In four throws with a pair of dice, what is the probability of throwing doublets at least twice?

123 Views

1026. A pair of dice is thrown 6 times. If getting a total of 9 is considered a success, what is the probability of at least 5 successes?

84 Views

1027. Find the probability of getting a sum of 9 at least twice in 10 throws with two dice.

88 Views

1028. A pair of dice is thrown 6 times. If getting a total of 7 is considered a success, what is the probability of at least 4 successes?

88 Views

1029. A pair of dice is thrown 6 times. If getting a total of 7 is considered a success, find the probability of at least five successes.

244 Views

1030. In a throw of 4 dice, find the probability that at least one die shows up 4.

91 Views