Intro to Probability (Multiple Events)

Notes

 

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

 

 

\(\text{Probability of 2 Independent Events}\)
\(\text{(Probability event 1)} \times \text{(Probability event 2)}\)

 

 

Practice Questions

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

 

\(\textbf{3)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 2 marbles.
What is the probability of neither marble being red?

 

\(\textbf{4)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 2 marbles.
What is the probability of neither marble being green?

 

\(\textbf{5)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 2 marbles.
What is the probability of the first marble being red and the second blue without replacement?

 

\(\textbf{6)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 2 marbles.
What is the probability of the first marble being blue and the second red without replacement?

 

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

 

\(\textbf{8)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 2 marbles.
What is the probability of the first marble being blue and the second red with replacement?

 

\(\textbf{9)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 2 marbles.
What is the probability of the first marble being green and the second blue with replacement?

 

\(\textbf{10)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. You select 2 marbles.
What is the probability of the first marble being green and the second blue without replacement?

 

\(\textbf{11)}\) You flip a coin and roll a six-sided die.
What is the probability of getting a head and a 5?

 

\(\textbf{12)}\) You flip a coin and roll a six-sided die.
What is the probability of getting a tail and a 3?

 

\(\textbf{13)}\) You flip a coin and roll a six-sided die.
What is the probability of getting a tail and a 1?

 

\(\textbf{14)}\) You flip a coin and roll a six-sided die.
What is the probability of getting a tail and an even on the die?

 

\(\textbf{15)}\) You flip a coin and roll a six-sided die.
What is the probability of getting a tail and an odd on the die?

 

See Related Pages\(\)

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