## The probability of a student graduating from college is0.7. if 7 students are selected at random;find the probability that at least 1 of the

Question

The probability of a student graduating from college is0.7. if 7 students are selected at random;find the probability that at least 1 of them will graduate

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38 mins 2021-10-13T12:40:07+00:00 1 Answer 0 views 0

1. Step-by-step explanation:

(i) Probability that none of 3 students graduate=(1−0.4)×(1−0.4)×(1−0.4)

Probability that student (1) doesn’t graduate

⇒0.6×0.6×0.6

⇒0.216

∴ Probability that none of 3 students graduate=0.216

(ii) The only one will graduate.

we select one of 3 in 3C1 ways

his probability of passing =0.4

remaining two fail⇒0.6×0.6

probability =3C1×(0.4)×(0.6)×(0.6)

=3×0.4×0.36

Probability that only one will graduate⇒0.432

(iii) Probability that all students graduate=(0.4)(0.4)(0.4)

=0.064

∴ Probability that all will graduate=0.064.

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