Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot. Find the probability of this occuring.

1/7

Step-by-step explanation:

From the above question, we have the following values:

White socks = 2

Brown socks = 4

Black socks = 2

Total number of socks = 8

We are told in the question that:

You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot.

From above question, we can see that this is a probability with dependent events. This means have a white sock on your left foot and brown sock on your right are events that depend on each other, hence, the probability will occur with replacement.

The probability ( having a white sock on your left foot and brown sock on right) =

2/8 × 4/7

= 8/56

= 1/7

Therefore, the probability of this occuring is 1/7

1.30

step-by-step explanation:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours