Solution
1.
The probability that it is a red card.
Total number of red cards (required outcomes)= 26
Total number of cards or sample space = 52
[tex]The\text{ probability that it is a red card = }\frac{26}{52}\text{ = }\frac{1}{2}[/tex]
2)
Total number of face cards (required outcomes)= 12
Total number of cards or sample space = 52
[tex]Probability\text{ that it is a face card = }\frac{12}{52}=\text{ }\frac{3}{13}[/tex]
3)
The probability that it is a red or a face card
= probability that it is a red or a face card - probability that it is a red or a face card
[tex]\begin{gathered} =\text{ }\frac{1}{2}\text{ + }\frac{3}{13}\text{ - }\frac{6}{52} \\ =\text{ }\frac{1}{2}+\text{ }\frac{3}{13}\text{ -}\frac{3}{26} \\ =\text{ }\frac{13\text{ + 6-3}}{26} \\ =\text{ }\frac{16}{26} \\ =\text{ }\frac{8}{13} \end{gathered}[/tex]
