In class-examples, February 11, 2020

In [4]:
def joint_probability_of_independent_events(list_of_events):
    prob = 1
    for x in list_of_events:
        prob = prob * x
    return prob
In [5]:
three_coins = [0.5, 0.5, 0.5]
print(joint_probability_of_independent_events(three_coins))

0.125
In [6]:
# DON'T WRITE THIS DOWN, THERE'S A BUG. 

def union_of_independent_events(list_of_events):
    sum_of_events = sum(list_of_events)
    return sum_of_events - joint_probability_of_independent_events(list_of_events)
In [7]:
print(union_of_independent_events([0.5, 0.5]))

0.75
In [8]:
print(union_of_independent_events(three_coins))

1.375

So we'll talk in class about why that last one is wrong---and I'm not going to implement a correct version, because it'll require more combinatorial gnarliness than I'm willing to figure out how to code up today---but if you want to see what the deal is in advance, check out this wikipedia page.

In [ ]:

links