Name:__________________________
Binomial probability distributions
https://davidwills.us/stat200/binomial.html

A process has a 5% chance of succeeding/happening. 
5% = 1 out of 20, a low probability of success. 
But what are the chances of success if the process is done many times?

p = .05

n = 1 trial
P(0) = _____________   probability of not succeeding
P(1) = _____________   probability of succeeding


n = 2 trials
P(0) = _____________   probability of not succeeding
P(1) = _____________   probability of one success
P(2) = _____________   probability of both succeeding


n = 5 trials
P(0) = _____________   probability of 0 success
P(1) = _____________   probability of 1 success
P(2) = _____________   probability of 2 successes
P(3) = _____________   probability of 3 successes
P(4) = _____________   probability of 4 successes
P(5) = _____________   probability of all 5 succeeding
Probability of at least one success in the 5 trials: P(≥1) = ________


n = 10 trials
Probability of at least one success in the 10 trials: P(≥1) = ________


n = 14    fourteen trials
Probability of at least one success in the 14 trials: P(≥1) = ________

As the number of trials increases, even very low probability events are likely to occur.

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An event has a 10% chance of occurring.
How many trials need be done to get a probability of a success exceeding .5

n=_____   

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Someone said that if there's a 1% chance of success and you do it 100 times you are guaranteed success.
Let's correct that person.
n=_______
p=_______
P(0 successes)=_________