1
JEE Main 2016 (Online) 10th April Morning Slot
+4
-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 :
A
$${{240} \over {729}}$$
B
$${{192} \over {729}}$$
C
$${{256} \over {729}}$$
D
$${{496} \over {729}}$$
2
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
If A and B are any two events such that P(A) = $${2 \over 5}$$ and P (A $$\cap$$ B) = $${3 \over {20}}$$, hen the conditional probability, P(A $$\left| {} \right.$$(A' $$\cup$$ B')), where A' denotes the complement of A, is equal to :
A
$${1 \over 4}$$
B
$${5 \over 17}$$
C
$${8 \over 17}$$
D
$${11 \over 20}$$
3
JEE Main 2016 (Offline)
+4
-1
Let two fair six-faced dice $$A$$ and $$B$$ be thrown simultaneously. If $${E_1}$$ is the event that die $$A$$ shows up four, $${E_2}$$ is the event that die $$B$$ shows up two and $${E_3}$$ is the event that the sum of numbers on both dice is odd, then which of the following statements is $$NOT$$ true?
A
$${E_1}$$ and $${E_2}$$ are independent.
B
$${E_2}$$ and $${E_3}$$ are independent.
C
$${E_1}$$ and $${E_3}$$ are independent.
D
$${E_1},$$ $${E_2}$$ and $${E_3}$$ are independent.
4
JEE Main 2015 (Offline)
+4
-1
If $$12$$ different balls are to be placed in $$3$$ identical boxes, then the probability that one of the boxes contains exactly $$3$$ balls is :
A
$$220{\left( {{1 \over 3}} \right)^{12}}$$
B
$$22{\left( {{1 \over 3}} \right)^{11}}$$
C
$${{55} \over 3}{\left( {{2 \over 3}} \right)^{11}}$$
D
$$55{\left( {{2 \over 3}} \right)^{10}}$$
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