Five cards are drawn at random from a well shuffled pack of 52 playing cards. The probability |that four of them may have the same face value is

Options

A. `(1)/(17)`
B. `(3)/(17)`
C. `(5)/(17)`
D. `(7)/(17)`

Answer

A

Explanation

Number of ways of selecting 2 cards from deck of cards `=""^(52)C_(2)`.
favourable cases = `""^(13)C_(2)`
Probability `= (""^(13)C_(2))/(""^(52)C_(2))= ((13 xx 12)/(2))/((52 xx 51)/(2)) = (13 xx 12)/(52 xx 51) = (1)/(17)`