The probability that in a particular town a college student will graduate is 0.4. Determine the probability that out of 5 students, a) none b) one and c) at lest one will graduate
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Probability that α student graduates=0.4
(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
Explanation:
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