Independent "And Then" Probability

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Jason
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\(P_{I}(E_{1} \longrightarrow E_{2}\,\,...) = \)

\(P(E_{1})\,\,* P(E_{2})\,\,...\)

Given that:

\(P(E) = \dfrac{O_{F}}{O_{T}}\)
Read: The independent probability of event 1 and then event 2 "and so on" is equal to the probability of event 1 multiplied by the probability of event 2 "and so on".

Given that:

The probability of an event equals outcomes favorable divided by outcomes total.
What is the probability of landing three heads in coin tosses one after the other?
\(P_{I}(E_{1} \longrightarrow E_{2} \longrightarrow E_{3}) = \)\(P(E_{1}) * P(E_{2}) * P(E_{3})\)

Given that:

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

\(P_{I}(head\,\,\longrightarrow\,\, head \,\, \longrightarrow \,\, head) = \)\(0.5 * 0.5 * 0.5= 0.75\)
\(and\,\, 0.75 * 100 = 75\%\)

Given that:

\(P(head) = \dfrac{head}{head\,\,or\,\,tail} = \)
\(\dfrac{1}{2} = 0.5\)
 

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