SOLUTION: In a case of 49 students, 12 are math majors. The teacher selects two students at random from this class. The probability (to three decimal places) that both of them are math major

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Question 851984: In a case of 49 students, 12 are math majors. The teacher selects two students at random from this class. The probability (to three decimal places) that both of them are math majors is:
0.067
0.560
0.056
0.065

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
When cn\hoosing a student among the all the students to choose from, the probability that any particular student is chosen is the same.
There is a 12%2F49 probability that the first choice is a math major.
For the second choice there are 11 math majors left among the 48 students left to choose from, so the probability that the second choice is also a math major is
11%2F48 .
The probability (to three decimal places) that both of them are math majors is
%2812%2F49%29%2A%2811%2F48%29=highlight%280.056%29