You draw a card from a standard deck of 52 cards, replace it, and draw another card. Find each probability. (Enter your probabilities as fractions.)

(a) P(jack and then black)

(b) P(red and then club)

(c) P(nine and then face card)

(d) P(ace of hearts and then four)

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Step-by-step explanation:

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a. 1/26

b.1/8

c.3/169

d.1/676

Step-by-step explanation:

a. 4/52 * 26/52

b.26/52 * 13/52

c. 4/52 * 12/52

d.1/52 * 4/52

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: