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1
JEE Main 2022 (Online) 24th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

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
$${{1088} \over {1089}}$$
2
JEE Main 2021 (Online) 1st September Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is :

JEE Main 2021 (Online) 1st September Evening Shift Mathematics - Probability Question 87 English
A
$${2 \over 7}$$
B
$${1 \over 18}$$
C
$${1 \over 7}$$
D
$${1 \over 9}$$
3
JEE Main 2021 (Online) 31st August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let S = {1, 2, 3, 4, 5, 6}. Then the probability that a randomly chosen onto function g from S to S satisfies g(3) = 2g(1) is :
A
$${1 \over {10}}$$
B
$${1 \over {15}}$$
C
$${1 \over {5}}$$
D
$${1 \over {30}}$$
4
JEE Main 2021 (Online) 27th August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Each of the persons A and B independently tosses three fair coins. The probability that both of them get the same number of heads is :
A
$${1 \over 8}$$
B
$${5 \over 8}$$
C
$${5 \over 16}$$
D
1
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