1
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
From a group of 10 men and 5 women, four member committees are to be formed each of which must contain at least one woman. Then the probability for these committees to have more women than men, is :
A
$${{21} \over {220}}$$
B
$${{3} \over {11}}$$
C
$${{1} \over {11}}$$
D
$${{2} \over {23}}$$
2
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
Let E and F be two independent events. The probability that both E and F happen is $${1 \over {12}}$$ and the probability that neither E nor F happens is $${1 \over {2}}$$, then a value of $${{P\left( E \right)} \over {P\left( F \right)}}$$ is :
A
$${4 \over 3}$$
B
$${3 \over 2}$$
C
$${1 \over 3}$$
D
$${5 \over 12}$$
3
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
Three persons P, Q and R independently try to hit a target. I the probabilities of their hitting the target are $${3 \over 4},{1 \over 2}$$ and $${5 \over 8}$$ respectively, then the probability that the target is hit by P or Q but not by R is :
A
$${{21} \over {64}}$$
B
$${{9} \over {64}}$$
C
$${{15} \over {64}}$$
D
$${{39} \over {64}}$$
4
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
$${{1} \over {2}}$$
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