Given:
A standard deck is made up of cards from 4 suit clubs, hearts, diamonds, and spades.
Required:
Find the fewest number of cards that you need to draw so that you are certain that you have at least two cards of the same suit.
Explanation:
The total number of cards = 52
The number of cards with the same suit = 13
The probability of an event is given by the formula:
[tex]P=\frac{Number\text{ of possible outcomes}}{Total\text{ outcomes}}[/tex]The probability of drawing two cards with the same suit is:
[tex]\begin{gathered} P=4\times\frac{13}{52}\times\frac{12}{51} \\ =\frac{4}{17} \end{gathered}[/tex]Final Answer:
The probability of