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Statement 1: The probability of drawing ...

Statement 1: The probability of drawing either an ace or a king from a pack of card in a single draw is 2/13. Statement 2: for two events `Aa n dB` which are not mutually exclusive, `P(AuuB)=P(A)+P(B)-P(AnnB)dot`

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

Verified by Experts

The correct Answer is:
A
Clearly, statement -2 is true . (see theory).
Consider the following events .
A = Getting a king ia draw, B =- Getting an ace in a draw
Clearly, ` P ( A) = `1/13,` P ( B) = `1/ 13, P ( A cap B) =0`
` Requird propbability = ` P ( cup B)`
` P(A) + P(B) -P ( A cup B) = 1/13 + 1/13 = 2/13`
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