Question

GRADUATION In Grade 12 class of 100 students, 91 went to the Grade 12 graduation. If two people are chosen at random from the entire class, what is the probability that at least one of them did not go to graduation?

Answer 1

Probabilities are used to determine the chances of events

The probability that at least one of them did not go to graduation is 0.173

How to calculate the probability

The number of students in Grade 12 class is:

n = 100

The number of students that went to the graduation is

p = 91

The above means that:

q = 9 --- the number of students that did not attend the graduation

So, the probability that at least two students do not attend the graduation is:

Pr = P(None) + P(One)

So, we have:

$Pr = 9/100 * 8/99 + 9/100 * 91/99 + 91/100 * 9/99$

Evaluate

Pr = 0.173

Hence, the probability that at least one of them did not go to graduation is 0.173

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