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JEE Advanced 2019 Paper 2
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© examsnet.com
Question : 48
Total: 54
Let
|
X
|
denote the number of elements in a set X. Let
S
=
{
1
,
2
,
3
,
4
,
5
,
6
}
be a sample space, where each element is equally likely to occur. If A and B are independent events associated with S, then the number of ordered pairs (A, B) such that
1
≤
|
B
|
<
|
A
|
,equals ____
Your Answer:
Validate
Solution:
If n(B) = 1, n(A) = 6 ⇒no. of ordered pairs (A,B) = 6
If n(B) = 2, n(A) = 3 ⇒no. of ordered pairs (A,B) = 180
If n(B) = 2, n(A) = 6 ⇒no. of ordered pairs (A,B) = 15
If n(B) = 3, n(A) = 4 ⇒no. of ordered pairs (A,B) = 180
If n(B) = 3, n(A) = 6 ⇒no. of ordered pairs (A,B) = 20
If n(B) = 4, n(A) = 6 ⇒no. of ordered pairs (A, B) = 15
If n(B) = 5, n(A) = 6 ⇒no. of ordered pairs (A,B) = 6
⇒Total number of ordered pairs (A, B) = 422.
© examsnet.com
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