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) 3/20
B) 1/20
C) 13/102
D) 11/20
E) 2/20
Let S be the sample space.   Then, n(S) = 52C2   = (52*51)/(2*1)= 
<gadget id="calculator">(52*51)/(2*1)</gadget>
<output>1_326</output>
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   = (1313/1021 * 1313/1021)   = (13 * 13)= 
<gadget id="calculator">(13 * 13)</gadget>
<output>169</output>
169   P(E)= n(E)/n(S)   = 169/1326   = 13/102   Answer should be 13/102
<result>C</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: