1
JEE Main 2022 (Online) 24th June Evening Shift
+4
-1

A random variable X has the following probability distribution:

X 0 1 2 3 4
P(X) k 2k 4k 6k 8k

The value of P(1 < X < 4 | X $$\le$$ 2) is equal to :

A
$${4 \over 7}$$
B
$${2 \over 3}$$
C
$${3 \over 7}$$
D
$${4 \over 5}$$
2
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2 balls drawn from it at random, are found to be 1 red and 1 black. If the probability that both balls come from Bag A is $${6 \over {11}}$$, then n is equal to __________.

A
13
B
6
C
4
D
3
3
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

If a random variable X follows the Binomial distribution B(33, p) such that

$$3P(X = 0) = P(X = 1)$$, then the value of $${{P(X = 15)} \over {P(X = 18)}} - {{P(X = 16)} \over {P(X = 17)}}$$ is equal to :

A
1320
B
1088
C
$${{120} \over {1331}}$$
D
$${{1088} \over {1089}}$$
4
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is :

A
$${2 \over 7}$$
B
$${1 \over 18}$$
C
$${1 \over 7}$$
D
$${1 \over 9}$$
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