Question

You are dealt one card from a 52-card deck. Find the probability that you are dealt a six or a red card.

Answer 1

`P(\text{ six or red)=}(7)/(13)`

Explanation:

The probability of an event is represented by the following equation;

`P(A)=\frac{\text{ Number of favorable outcomes}}{\text{ Number of possible outcomes}}_{}`

Therefore, from a 52-card deck which is better shown with the following image:

There are 4 6's in a 52-card deck and 26 red cards.

*If the events A and B are not mutually exclusive, the probability is:

`P(A\text{ or B)=P}(A)+P(B)-P(A\text{ and B)}`

Then to determine the probability that you dealt a six or a red card:

`\begin{gathered} P(six\text{ or red)=}(4)/(52)+(26)/(52)-(2)/(52) \\ P(\text{ six or red)=}(7)/(13) \end{gathered}`