In your drawer you have 10 white socks, 6 black socks, 4 brown socks and 2 blue socks. your roommate is still asleep, and you cannot turn the light on while you get dressed. you reach in blindly and grab two socks. what is the probability of pulling out a matching pair of black socks?

Required probability is,

Step-by-step explanation:

Given,

White socks = 10,

Black socks = 6,

Brown socks = 4,

Blue socks = 2,

Total socks = 10 + 6 + 4 + 2 = 22,

Thus, the total ways of choosing any 2 socks = ,

Now, the ways of choosing a black socks =

Thus, ways of choosing a pair of black socks =

Hence, the probability of pulling out a matching pair of black socks

=

=

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions