Question

You are playing cards. A standard deck is made up of cards from 4 suits (clubs, hearts, diamonds, and spades).What is 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?235768

Answer 1

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.

Step-by-step 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:

`P=\frac{Number\text{ of possible outcomes}}{Total\text{ outcomes}}`

The probability of drawing two cards with the same suit is:

`\begin{gathered} P=4*(13)/(52)*(12)/(51) \\ =(4)/(17) \end{gathered}`

Final Answer:

The probability of