You have a drawer with five pairs of white socks, three pairs of black socks, and one pair of red socks. You choose one pair of socks at random each morning, starting on Monday. You do not put the socks you choose back in the drawer. Find the probability of each event. 3. You select black socks on Monday and white socks on Tuesday.

20.8%

Step-by-step explanation:

To find the final probability, two separate events must be done and the final propagation is the multiplication of these, like this:

First event:

Probability of black socks on Monday:

Total pair of socks: 1 + 3 + 5 = 9

Number of black socks on Monday: 3

Thus:

3/9 = 1/3

Second event:

Probability of white socks on Tuesday:

Total pair of socks: 8

Number of white socks on Tuesday: 5

Thus:

5/8

Final probability:

1/3 * 5/8 = 5/24

P = 0.208

So the probability would be 20.8%

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