Answer:
[tex]\frac{7}{13}[/tex]
Step-by-step explanation:
Total number of cards in deck of playing cards = 52
Number of ace in deck of playing cards i.e n(P)= 4
Number of red cards in deck of playing cards i,e n(Q) =
Number of diamonds + Number of hearts = 13+ 13 = 26
Number of ace which are red cards i,e [tex]n(P\cap Q)[/tex]= 2
To Find: [tex]n\left ( P\cup Q \right )[/tex]
Solution:
[tex]n\left ( P\cup Q \right )=n\left ( P \right )+n\left ( Q \right )-n\left ( P\cap Q \right )\\=4+26-2\\=28[/tex]
So, probability that the card drawn is an ace or a red card = [tex]n\left ( P\cup Q \right )[/tex]/Total number of cards
=[tex]\frac{28}{52}=\frac{7}{13}[/tex]
