# Answer to Question #26451 in Statistics and Probability for mike

Question #26451

it has been found that 80%of the geometry students pass the chapter test on conguent triangles. If a class of 15 students, find the probability that a least one student will fail

Expert's answer

If there are 15 students in a class, then

15·0.8 = 12

students pass the chapter test on congruent triangles and the probability that a student will pass the chapter test is

p = 12/15 = 4/5 = 0.8.

Therefore, the probability that a least one student from 15 will fail is

P = 1 - (no one student will fail) =

= 1 - 0.8^15 ≈ 0.965.

15·0.8 = 12

students pass the chapter test on congruent triangles and the probability that a student will pass the chapter test is

p = 12/15 = 4/5 = 0.8.

Therefore, the probability that a least one student from 15 will fail is

P = 1 - (no one student will fail) =

= 1 - 0.8^15 ≈ 0.965.

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