Question

An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a queen ? Question content area bottomPart 1The probability of drawing a queen is   enter your response here .(Type an integer or a simplified fraction.)

Answer 1

Given:

Total number of cards = 52

Number of cards drawn = 1

Then:

Number of ways of drawing a card from 52 cards

`\begin{gathered} =^(52)C_1 \\ =52 \end{gathered}`

Number of queens in a deck of cards = 4

Number of ways that one card is a queen

`\begin{gathered} =^4C_1 \\ =4 \end{gathered}`

Probability of drawing a queen

`\begin{gathered} =\frac{\text{ Number of favorable cases}}{\text{ Total number of cases}} \\ =(4)/(52) \\ =(1)/(13) \end{gathered}`

Final answer: 1/13