In the news article below the writer says the following In f

In the news article below, the writer says the following:

In fact, black folks only make up about 4 percent of all full time tenured college faculty in America.
To put that in context, only 14 out of the 321—that\'s about 4 percent—of U.S. astronauts have been African American.
So in America, if you\'re black, you\'ve got about as good a chance of being (as astronaut) as you do getting a job as a college professor.

http://www.nbcnews.com/news/nbcblk/oped-saida-grundy-twitter-doesnt-always-equal-tenure-n360026

Translate the three sentences into probability notation, using the following definitions:
B = person is black
A = person is an astronaut
P = person is a professor

For example, the sentence, \"There is a 10% chance that a person is an astronaut,\" translates as: Pr(A) = 0.1.
The sentence, \"There is as great a chance of being black as there is of being an astronaut,\" translates as Pr(B) = Pr(A).
(The author uses \"black\" as a synonym for \"African-American,\" and \"full time tenured college faculty\" as a synonym for \"college professor.\" Similarly, regard these as synonyms in your analysis.)

Translate: \"In fact, black folks only make up about 4 percent of all full time tenured college faculty in America.\"


Translate: \"To put that in context, only 14 out of the 321—that\'s about 4 percent—of U.S. astronauts have been African American.\"


Translate: \"So in America, if you\'re black, you\'ve got about as good a chance of being (an astronaut) as you do getting a job as a college professor.\"


Assume that the first two sentences are correct. The author\'s third sentence does not follow logically from the first two.

What is the probability of a black person being an astronaut?


What is the probability of a black person being a college professor?


You may find the following information helpful.

Number of African-Americans in the US:	41 million
Number of people in the US:		310 million
Number of professors in the US:	1.3 million
Number of workers in the US:		145 million

In the news article below, the writer says the following:

In fact, black folks only make up about 4 percent of all full time tenured college faculty in America.
To put that in context, only 14 out of the 321—that\'s about 4 percent—of U.S. astronauts have been African American.
So in America, if you\'re black, you\'ve got about as good a chance of being (as astronaut) as you do getting a job as a college professor.

http://www.nbcnews.com/news/nbcblk/oped-saida-grundy-twitter-doesnt-always-equal-tenure-n360026

Translate the three sentences into probability notation, using the following definitions:
B = person is black
A = person is an astronaut
P = person is a professor

For example, the sentence, \"There is a 10% chance that a person is an astronaut,\" translates as: Pr(A) = 0.1.
The sentence, \"There is as great a chance of being black as there is of being an astronaut,\" translates as Pr(B) = Pr(A).
(The author uses \"black\" as a synonym for \"African-American,\" and \"full time tenured college faculty\" as a synonym for \"college professor.\" Similarly, regard these as synonyms in your analysis.)

Translate: \"In fact, black folks only make up about 4 percent of all full time tenured college faculty in America.\"


Translate: \"To put that in context, only 14 out of the 321—that\'s about 4 percent—of U.S. astronauts have been African American.\"


Translate: \"So in America, if you\'re black, you\'ve got about as good a chance of being (an astronaut) as you do getting a job as a college professor.\"


Assume that the first two sentences are correct. The author\'s third sentence does not follow logically from the first two.

What is the probability of a black person being an astronaut?


What is the probability of a black person being a college professor?


You may find the following information helpful.

Number of African-Americans in the US:	41 million
Number of people in the US:		310 million
Number of professors in the US:	1.3 million
Number of workers in the US:		145 million

Translate: \"In fact, black folks only make up about 4 percent of all full time tenured college faculty in America.\"

P(B) = 0.04 P(P)

Translate: \"So in America, if you\'re black, you\'ve got about as good a chance of being (an astronaut) as you do getting a job as a college professor.\"

P( A/ B ) =P( P/B)

Translate: \"To put that in context, only 14 out of the 321—that\'s about 4 percent—of U.S. astronauts have been African American.\"

P( A/B) = 0.04

What is the probability of a black person being an astronaut?

P= 41/ 310 = 0.132258

What is the probability of a black person being a college professor?

P = 1,300/41,000 =0.0317