The following questions consist of two statements, one labelled as the 'Assertion (A)' and the other as 'Reason (R)'. You are to examine these two statements carefully and select the answer.
Assertion (A) : The probability of drawing either an ace or a king from a deck of card in a single draw is `2/13`.
Reason (R) : For two events `E_(1) and E_(2)`, which are not mutually exclusive probability is given by
`P(E_(1) + E_(2)) = P(E_(1)) + P(E_(2)) - P(E_(1) nn E_(2))`

Options

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true but R is not the correct explanation of A
C. A is true but R is false
D. A is false but R is true

Answer

B

Explanation

(A) Total no. of cards = 52
Total no. of ace cards = 4
Total no. of king cards = 4
P(drawn an ace) `= 4/52`, P(drawn an king) `= 4/52`
Thus, P(drawing either an ace or a king
= P(an ace) + P(a king)
`= 4/52 + 4/52 = 8/52 = 4/26 = 2/12`
Both A and R are true but R is not the correct explanation of A.