Answer : 25/51
The probability of drawing two red cards without replacement is 25/102 , and the probability of drawing one red card is 1/2 .
probability(drawing a second red card, given that the first card is red)
= Probability (drawing two red cards without replacement) divide by probability (drawing a one red card)
probability(drawing a second red card, given that the first card is red)
= [tex]\frac{\frac{25}{102}}{\frac{1}{2} }[/tex]
= [tex]\frac{25}{102} * \frac{2}{1}[/tex]
= [tex]\frac{50}{102}[/tex]
= [tex]\frac{25}{51}[/tex]
