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

Sagot :

Answer:

[tex]P(\text{ six or red)=}\frac{7}{13}[/tex]

Step-by-step explanation:

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

[tex]P(A)=\frac{\text{ Number of favorable outcomes}}{\text{ Number of possible outcomes}}_{}[/tex]

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:

[tex]P(A\text{ or B)=P}(A)+P(B)-P(A\text{ and B)}[/tex]

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

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

View image DvonteH74756