100 points! a game has 6 colored playing pieces. they are red, yellow, green, blue, purple, and white. you and a friend pick your game piece without looking. what is the probability that your friend picks the blue piece and you pick the yellow piece?

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The answer is 1/30.

Step-by-step explanation:

6 colored playing pieces: red, yellow, green, blue, purple, and white.

When you pick, the probability of picking yellow = no. of yellow / total no.

= 1/6

When your friend pick, only 5 pieces are left and the probability of picking blue = no. of blue / total no.

= 1/5

The probability that your friend picks the blue piece and you pick the yellow piece

= Probability of your friend picks the blue piece x Probability of ou pick the yellow piece

= 1/5 x 1/6

= 1/30

solution given:

totaln[S]=6for blue

n[B]=1

n[y]=1

now the probability that your friend picks the blue piece and you pick the yellow piece

=p[B]×p[y]=1/6×1/5 [one is removed]=1/30

so

1/30 is a required probability.

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: