1/13
Probability is the likelihood or chance that an event will occur. Mathematically;
[tex]\text{Probability}=\frac{Expected\text{ outcome}}{Total\text{ outcome}}[/tex]Since there are 52 cards in a deck of cards, hence the total outcome will be 52.
Next is to get the expected outcome. Since we need the probability of being dealt a five and there 4 fives in a deck of cards. The expected outcome will be 4
The required probability is expressed as:
[tex]\begin{gathered} \text{ Pr(dealt with a five)=}\frac{4}{52} \\ \text{ Pr(dealt with a five)=}\frac{1}{13} \end{gathered}[/tex]Hence the probability of being dealt a five is 1/13