Python: (Probability) Exclusive "Or" Probability

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Jason
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[Exclusive "Or"] means one event could happen or another, and so on, but all events cannot happen. It's connected to being mutually exclusive.

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print(f "What is the chance of unknowingly picking an apple or an orange from a basket with an apple, orange, and banana (one fruit pick)?")

float(apple_outcome) = float(orange_,outcome) = float(banana_outcome) = 1/3

apple_or_orange_outcome = apple_outcome + orange_outcome

percent_apple_or_orange_outcome = apple_or_orange_outcome * 100

print(f "The chance of picking an orange or apple is {apple_or_orange_outcome} which is {percent_apple_or_orange_outcome}%")

\(P(E_{1} \veebar E_{2}...\veebar\,\,E_{n + 1}) =\)

\(P(E_{1}) + P(E_{2})...+\,\,E_{n + 1}\)

Given that

\(P(E) = \dfrac{O_{F}}{O_{T}}\)
Read: The probability of event 1 [exclusive "or"] event 2 [exclusive "or"] event E_{n+1} equals the probability of event 1 added to the probability of event 2 added to the probability of event E_{n +1}

Given that

The probability of an event is the outcomes favored divided by the outcomes total.
What is the chance of unknowingly picking an apple or an orange from a basket containing an apple, orange and banana. (one pick)
\(P(E_{1} \veebar E_{2}) = P(E_{1}) + P(E_{2}) .\)

Given that:

\(P(E) = \dfrac{O_{F}}{O_{T}}\)

\(P(apple \veebar orange) = P(apple) + P(orange) .\)

\(P(apple \veebar orange) = \dfrac{1}{3} + \dfrac{1}{3} = \dfrac{2}{3}\)
\(= 0.667 = 66.7 \%\)

Given that:

\(P(apple) = \dfrac{apple}{total\,\,fruit} = \dfrac{1}{3}\)

\(P(orange) = \dfrac{orange}{total\,\,fruit} = \dfrac{1}{3}\)
 

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