4.1.14 deck card

An ordinary deck of playing cards has 52 cards. There are four suitslong dash ​spades, ​hearts, diamonds, and clubslong dash with 13 cards in each suit. Spades and clubs are​ black; hearts and diamonds are red. If one of these cards is selected at​ random, what is the probability that it is

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(a). The probability of selecting a jack is

From the image, there are 4 jack cards. So the probability is \(\frac{4}{52}=\frac{1}{13}\)

(b). The probability of selecting a red card is

From the image, there are 26 jack cards. So the probability is \(\frac{26}{52}=\frac{1}{2}\)

(c). The probability of selecting a card that is not a heart is

There are 13 heart cards. So the probability is \(\frac{52-13}{52}=\frac{3}{4}\)

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Hope that helps!