Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:	Choose the correct option.
A) 13/109	B) 13/162	C) 13/111	D) 13/102	E) 13/112
Let S be the sample space.   Then, n(S) = \inline {\color{Black}52C_{2} }=(52 x 51)/(2 x 1) = 1326.   Let E = event of getting 1 spade and 1 heart.   n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = \inline {\color{Black}13C_{1}\times 13C_{1} } = 169.   P(E) = n(E)/n(S) = 169/1326 = 13/102.   Answer: 13/102) 13/102
<result>D</result>
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is: