PW Lakshya JEE - Class 12
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Electrostatic Potential and Capacitance ๐Ÿ”ฅ LIVE NOW ๐Ÿ”ด || By Saleem Sir โœจ

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A capacitor is charged and battery is disconnected. Now the distance between the plates is increased slightly.
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Maths Question Class 12th

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Q. If A and B are two independent event, prove that A' and B are also independent.

(C.B.S.E. Sample Paper 2018-19)

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๐Ÿ”— PW Lakshya JEE - Class 12
QUESTION ๐Ÿฅ‡

If A and B are two independent event, prove that A' and B are also independent. (C.B.S.E. Sample Paper 2018-19)

SOLUTION ๐ŸŽŠ

Since A and B are independent events,
[Given] .-. P(A โˆฉ B) = P (A). P(B) ... (1)

Now P(A'NB) = P(B) - P (A โˆฉ B) = P(B) - P (A) P(โˆฉ B) [Using (1)] = (1 - P(A)) P(B) = P(A') P(B).

Hence, A' and B are independent events.

๐Ÿ”— PW Lakshya JEE - Class 12
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PW Lakshya JEE - Class 12