Sixty percent of the marbles in a bag are blue. One marble is chosen and replaced. A second marble is chosen and replaced. Then a third marble is chosen. What is the probability that a blue marble will not be chosen?

0.064. same as 8/125

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the total outcome.

Given that Sixty percent of the marbles in a bag are blue

The probability of picking a blue marble

p(b) = 60% = 3/5

The probability of not picking a blue marble

np(b) = 1 - 60%

= 1 - 3/5

= 2/5

Hence where 3 marbles are picked and replaced, the probability of not picking a blue marble

= 2/5 * 2/5 * 2/5

= 8/125

= 0.064

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