In your drawer you have 10 white socks, 6 black socks, 4 brown socks and 2 blue socks. your roommate

3 answers
Question:

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?

Answers

Required probability is,

[tex]\frac{36}{231}[/tex]

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 = [tex]^22C_2[/tex],

Now, the ways of choosing a black socks = [tex]^6C_1[/tex]

Thus, ways of choosing a pair of black socks = [tex]^6C_1\times ^6C_1[/tex]

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

= [tex]\frac{^6C_1\times ^6C_1}{^{22}c_2}[/tex]

= [tex]\frac{36}{231}[/tex]

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒[tex]x + 112.49[/tex]

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

[tex]x + 112.49 > 250[/tex]

subtract 112.49 from both sides we get;

[tex]x > 137.51[/tex]

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.  

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