1
JEE Main 2020 (Online) 2nd September Evening Slot
+4
-1
Let EC denote the complement of an event E. Let E1 , E2 and E3 be any pairwise independent events with P(E1) > 0
and P(E1 $$\cap$$ E2 $$\cap$$ E3) = 0.
Then P($$E_2^C \cap E_3^C/{E_1}$$) is equal to :
A
$$P\left( {E_3^C} \right)$$ - P(E2)
B
$$P\left( {E_2^C} \right)$$ + P(E3)
C
$$P\left( {E_3^C} \right)$$ - $$P\left( {E_2^C} \right)$$
D
P(E3) - $$P\left( {E_2^C} \right)$$
2
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was drawn from Box I is :
A
$${8 \over {17}}$$
B
$${2 \over 3}$$
C
$${2 \over 5}$$
D
$${4 \over {17}}$$
3
JEE Main 2020 (Online) 9th January Evening Slot
+4
-1
A random variable X has the following probability distribution :

X: 1 2 3 4 5
P(X): K2 2K K 2K 5K2

Then P(X > 2) is equal to :
A
$${1 \over {6}}$$
B
$${7 \over {12}}$$
C
$${1 \over {36}}$$
D
$${23 \over {36}}$$
4
JEE Main 2020 (Online) 9th January Evening Slot
+4
-1
If 10 different balls are to be placed in 4 distinct boxes at random, then the probability that two of these boxes contain exactly 2 and 3 balls is :
A
$${{965} \over {{2^{11}}}}$$
B
$${{965} \over {{2^{10}}}}$$
C
$${{945} \over {{2^{11}}}}$$
D
$${{945} \over {{2^{10}}}}$$
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