The probability of drawing only one red card in two draws without replacement is given by:
[tex]P(1\ red)=\frac{26C1\times26C1}{52C2}=0.51[/tex]
The probability of drawing two red cards in two draws without replacement isgiven by:
[tex]P(2\ red)=\frac{26C2\times26C0}{52C2}=0.245[/tex]
The events 'draw one red card' and 'draw two red cards' are mutually exclusive. Therefore the probability of drawing at least one red card is 0.51 + 0.245 = 0.755.
