1
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
A box 'A' contains $$2$$ white, $$3$$ red and $$2$$ black balls. Another box 'B' contains $$4$$ white, $$2$$ red and $$3$$ black balls. If two balls are drawn at random, without eplacement, from a randomly selected box and one ball turns out to be white while the other ball turns out to be red, then the probability that both balls are drawn from box 'B' is :
A
$${9 \over {16}}$$
B
$${7 \over {16}}$$
C
$${9 \over {32}}$$
D
$${7 \over {8}}$$
2
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
$${{2} \over {23}}$$
3
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
$${5 \over 12}$$
4
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
$${{39} \over {64}}$$
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