1
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
An unbiased coin is tossed eight times. The probability of obtaining at least one head and at least one tail is :
A
$${{255} \over {256}}$$
B
$${{127} \over {128}}$$
C
$${{63} \over {64}}$$
D
$${{1} \over {2}}$$
2
JEE Main 2017 (Offline)
+4
-1
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 :
A
$${7 \over {16}}$$
B
$${7 \over {64}}$$
C
$${3 \over {16}}$$
D
$${7 \over {32}}$$
3
JEE Main 2017 (Offline)
+4
-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 :
A
$${{12} \over {55}}$$
B
$${{14} \over {45}}$$
C
$${{7} \over {55}}$$
D
$${{6} \over {55}}$$
4
JEE Main 2017 (Offline)
+4
-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 :
A
6
B
4
C
$${6 \over {25}}$$
D
$${{12} \over 5}$$
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