Question

A card is chosen at random from a standard deck. What is the P(red or king)?

Answer 1

The probability is:

In fraction form:

`(7)/(13)`

In percentage form:

`53.85\%`

Step-by-step explanation:

The formula for the probability of an event A occurring is:

`P(A)=\frac{favorable\text{ }outcomes}{total\text{ }outcomes}`

In this case, the totl outcomes, is the total number of cards in a standard deck: 52

The favorable outcome is the number of red cards and kings. A standard deck has half of its cards red: 52/2 = 26 red cards. To this, we need to add the two kings that are not red: The king of spades and the king of clubs.

Then, the favorable outcome are thered cards + the 2 black kings = 26 + 2 = 28

Now, using the formula:

`P(red\text{ }or\text{ }king)=(28)/(52)=(7)/(13)\approx0.5385`

To convet hthe answer from decimal to percentage, we multiply by 100:

`0.5385\cdot100=53.85\%`