AIEEE 2012 | Probability Question 213 | Mathematics

Three numbers are chosen at random without replacement from $$\left\{ {1,2,3,..8} \right\}.$$ The probability that their minimum is $$3,$$ given that their maximum is $$6,$$ is :

$${3 \over 8}$$

$${1 \over 5}$$

$${1 \over 4}$$

$${2 \over 5}$$

AIEEE 2011

MCQ (Single Correct Answer)

-1

If $$C$$ and $$D$$ are two events such that $$C \subset D$$ and $$P\left( D \right) \ne 0,$$ then the correct statement among the following is :

$$P\left( {{C \over D}} \right)$$$$ \ge P\left( C \right)$$

$$P\left( {{C \over D}} \right)$$$$ < P\left( C \right)$$

$$P\left( {{C \over D}} \right)$$$$ = {{P\left( D \right)} \over {P\left( C \right)}}$$

$$P\left( {{C \over D}} \right)$$$$ = P\left( C \right)$$

AIEEE 2011

MCQ (Single Correct Answer)

-1

Out of Syllabus

Consider $$5$$ independent Bernoulli's trials each with probability of success $$p.$$ If the probability of at least one failure is greater than or equal to $${{31} \over 32},$$ then $$p$$ lies in the interval :

$$\left( {{3 \over 4},{{11} \over {12}}} \right]$$

$$\left[ {0,{1 \over 2}} \right]$$

$$\left( {{11 \over 12},1} \right]$$

$$\left( {{1 \over 2},{{3} \over {4}}} \right]$$

AIEEE 2010

MCQ (Single Correct Answer)

-1

An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is :

$${2 \over 7}$$

$${1 \over 21}$$

$${1 \over 23}$$

$${1 \over 3}$$

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