3
QuizMultiple Choice

Theoretical and Experimental Probability — Quiz

Question 3 • Integrated Math II CR SUSD (EX)

Two students from a group of eight boys and 12 girls are sent to represent the school in a parade. If the students are chosen at random, what is the probability that the students chosen are not both girls?

Answer
A
62 over 95
B
33 over 95
C
12 over 190
D
178 over 190

Explanation

There are 20 students altogether, so the number of possible pairs is C(20, 2) = 190. The number of pairs consisting of two girls is C(12, 2) = 66, so 190 − 66 = 124 pairs are not both girls. Thus the probability is 124/190 = 62/95, which is choice D, “62 over 95.”

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