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The probability of picking 5+3 = 8 students is 0.1202
The probability is 1.
There is only one girl out of 12 students so the probability that the girl is selected is 1/12.
Pi is relevant to statistics students as it (for example) appears in the well known normal distribution probability density function.
Probability of picking a student is 800 / (800+50+150) = 800 / 1000 = .8.