Chapter 5, Problem 11SE

Cards (Example 2) There are four suits: clubs $\left(♣\right),$ diamonds $\left(♦\right),$ hearts $\left(♥\right),$ and spades $\left(♠\right),$ and the following cards appear in each suit: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king. The jack, queen, and king are called face cards because they have a drawing of a face on them. Diamonds and hearts are red, and clubs and spades are black.

If you draw 1 card randomly from a standard 52-card playing deck, what is the probability that it will be the following:

a. A heart

b. A red card

c. An ace

d. A face card (jack, queen, or king)

e. A three