There are 52 cards in a deck of cards that consists of four suits, each containing a king, a queen, and a jack. you are dealt a card from a newly shuffled deck of playing cards. which of the following describes the probability that you will be dealt a king or a queen?
a. 1/104
b. 1/52
c. 1/26
d. 2/13

Step-by-step explanation:

There are 4 kings in a 52 card deck.

There are 4 queens in a 52 card deck.

There are 8 chances out of 52 that you will get a king or a queen.

8/52 reduces to 2 / 13 when you cancel out 4 from the top and 4 from the bottom of the probability fraction.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is