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Lecture

# MATH 1P98: Binomial Probabilities

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Brock University

Mathematics

MATH 1P98

Dot Miners

Fall

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Binomial Probabilities
1) Fixed number of trials
2) The trials are independent (outcome from one doesn’t affect next)
3) Each trial has two outcomes; s = success, f = failure
4) Each trial has an equal likelihood of success
5) The problem is to find the probability of r successes from n trials
P(r) = nCr*p*q r n-r
Ex: left handed people in a group
n = 55 people
r = 10
p= 0.1
q = 0.9
AND cases: find probabilities separately and add together (ex: picking colored balls out of bag –
make sure to account for denominator change, ie ball is taken out)
OR cases: Sum of all probabilities minus probability of two events together (Ex: choc

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