1
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
$${1 \over 5}$$
2
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
$${1 \over 4}$$
3
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
$${7 \over {8}}$$
4
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
$${{2} \over {23}}$$
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