Question

If you take out a single card from a regular pack of cards, what is the probability that the card is either a king or heart?

Answer 1

Given:

The total number of cards is 52.

`n(S)=52`

To find:

The probability that the card is either a king or heart.

Step-by-step explanation:

The number of heart cards is 13.

The number of king cards is 4.

The number of cards that are both heart and kind is 1.

So, the total number of favourable outcomes is,

`\begin{gathered} n(E)=13+4-1 \\ n(E)=16 \end{gathered}`

Then, the probability is,

`\begin{gathered} P(A)=(n(A))/(n(S)) \\ =(16)/(52) \\ =(4)/(13) \end{gathered}`

Final answer:

The probability is,

`(4)/(13)`