JEE Main 2017 (Offline) | Probability Question 163 | Mathematics

For three events A, B and C,

P(Exactly one of A or B occurs)
= P(Exactly one of B or C occurs)
= P (Exactly one of C or A occurs) = $${1 \over 4}$$
and P(All the three events occur simultaneously) = $${1 \over {16}}$$.

Then the probability that at least one of the events occurs, is :

$${7 \over {16}}$$

$${7 \over {64}}$$

$${3 \over {16}}$$

$${7 \over {32}}$$

JEE Main 2017 (Offline)

MCQ (Single Correct Answer)

-1

If two different numbers are taken from the set {0, 1, 2, 3, ........, 10}; then the probability that their sum as well as absolute difference are both multiple of 4, is :

$${{12} \over {55}}$$

$${{14} \over {45}}$$

$${{7} \over {55}}$$

$${{6} \over {55}}$$

JEE Main 2017 (Offline)

MCQ (Single Correct Answer)

-1

Out of Syllabus

A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is :

$${6 \over {25}}$$

$${{12} \over 5}$$

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

An experiment succeeds twice as often as it fails. The probability of at least 5 successes in the six trials of this experiment is :

$${{240} \over {729}}$$

$${{192} \over {729}}$$

$${{256} \over {729}}$$

$${{496} \over {729}}$$

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