Question

A card is drawn from a standard deck of fifty-two cards. What is the probability of selecting Jack or a red card?

Answer 1

Step 1:

In a pack or deck of 52 playing cards, they are divided into 4 suits of 13 cards each i.e. spades ♠ hearts ♥, diamonds ♦, clubs ♣. Cards of Spades and clubs are black cards. Cards of hearts and diamonds are red cards. The card in each suit, are ace, king, queen, jack , 10, 9, 8, 7, 6, 5, 4, 3 and 2.

Step 2:

Total possible outcomes = 52

Total number of jacks = 4

Total number of red cards = 26

Step 3:

The probability of selecting Jack or a red card

`\begin{gathered} \text{Probability of any event = }\frac{n\text{umber of required outcomes}}{n\text{umber of possible outcomes}} \\ =\text{ }(4)/(52)\text{ + }(26)/(52) \\ =\text{ }(30)/(52) \\ =\text{ }(15)/(26) \end{gathered}`

Final answer

`(15)/(26)`