Intro to Probability

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Notes

\(\text{Probability}=\displaystyle \frac{\text{Successful Events}}{\text{Total Events}}\)


Practice Questions

\(\textbf{1)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 1 marble.
What is the probability of the marble being green? Link to Youtube Video Solving Question Number 1


\(\textbf{2)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 1 marble.
What is the probability of the marble being blue?


\(\textbf{3)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 1 marble.
What is the probability of the marble being red?


\(\textbf{4)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 1 marble.
What is the probability of the marble being yellow?


True or False

\(\textbf{5)}\) In probability, the sample space is the set of all possible outcomes of an experiment.


\(\textbf{6)}\) The probability of an event always lies between 0 and 1, inclusive.


\(\textbf{7)}\) If two events are independent, the occurrence of one does not affect the occurrence of the other.


\(\textbf{8)}\) Conditional probability is the probability of one event occurring given that another event has already occurred.



See Related Pages\(\)

\(\bullet\text{ Intro to Probability (Multiple Events)}\)
\(\,\,\,\,\,\,\,\,\text{Probability}=\frac{\text{successful events}}{\text{total events}}\)
\(\bullet\text{ Probability with Coin Tosses}\)
\(\,\,\,\,\,\,\,\,\text{Prob(3 heads)}=\frac{1}{8}\)
\(\bullet\text{ Probability with Marbles }\)
\(\,\,\,\,\,\,\,\,\text{Prob(3 red)}=\frac{7}{20}…\)
\(\bullet\text{ Probability with Dice}\)
\(\,\,\,\,\,\,\,\,\text{Prob(Two 6’s)}=\frac{1}{36}…\)
\(\bullet\text{ Probability with Round Tables}\)
\(\,\,\,\,\,\,\,\,(n-1)!…\)
\(\bullet\text{ Probability with Poker Hands}\)
\(\,\,\,\,\,\,\,\,\text{P(Full House)}=…\)


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