Question

←point(s) poSuppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 6 or a jack?P(6 or jack) =(Simplify your answer. Type an integer or a fraction.)

Answer 1

Answer:

Pr(6 or jack) = 2/13

Step-by-step explanation:

Given:

Total deck of cards = 52

To find:

the probability of drawing a 6 or a jack

`Pr(6\text{ or jack\rparen = Pr\lparen6\rparen + Pr\lparen jack\rparen}`
`\begin{gathered} Pr(6)\text{ = }\frac{number\text{ of 6s in the deck of card}}{total\text{ number of cards}} \\ \\ number\text{ of 6s = 4} \\ Pr(6)\text{ = }(4)/(52) \end{gathered}`
`\begin{gathered} Pr(jack)\text{ = }\frac{number\text{ of jacks in a deck of card}}{total\text{ number of cards}} \\ \\ number\text{ of jacks = 4} \\ Pr(jack)\text{ = }(4)/(52) \end{gathered}`
`\begin{gathered} Pr(6\text{ or jack\rparen = }(4)/(52)\text{ + }(4)/(52) \\ \\ Pr(6\text{ or jack\rparen= }(8)/(52)\text{ } \\ \\ Pr(6\text{ or jack\rparen= }(2)/(13)\text{ } \end{gathered}`