1
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
Let A, B and C be three events, which are pair-wise independent and $$\overrightarrow E$$ denotes the completement of an event E. If $$P\left( {A \cap B \cap C} \right) = 0$$ and $$P\left( C \right) > 0,$$ then $$P\left[ {\left( {\overline A \cap \overline B } \right)\left| C \right.} \right]$$ is equal to :
A
$$P\left( {\overline A } \right) - P\left( B \right)$$
B
$$P\left( A \right) + P\left( {\overline B } \right)$$
C
$$P\left( {\overline A } \right) - P\left( {\overline B } \right)$$
D
$$P\left( {\overline A } \right) + P\left( {\overline B } \right)$$
2
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
Two different families A and B are blessed with equal numbe of children. There are 3 tickets to be distributed amongst the children of these families so that no child gets more than one ticket. If the probability that all the tickets go to the children of the family B is $${1 \over {12}},$$ then the number of children in each family is :
A
3
B
4
C
5
D
6
3
JEE Main 2018 (Offline)
+4
-1
A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its colour is observed and this ball along with two additional balls of the same colour are returned to the bag. If now a ball is drawn at random from the bag, then the probability that this drawn ball is red, is :
A
$${3 \over 4}$$
B
$${3 \over 10}$$
C
$${2 \over 5}$$
D
$${1 \over 5}$$
4
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
A player X has a biased coin whose probability of showing heads is p and a player Y has a fair coin. They start playing a game with their own coins and play alternately. The player who throws a head first is a winner. If X starts the game, and the probability of winning the game by both the players is equal, then the value of 'p' is :
A
$${1 \over 5}$$
B
$${1 \over 3}$$
C
$${2 \over 5}$$
D
$${1 \over 4}$$
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Modern Physics
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