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? The answer is \(\frac{7}{30}\approx23.3\% \)
\(\textbf{2)}\) 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? The answer is \(\frac{11}{30}\approx36.7\% \)
\(\textbf{3)}\) 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? The answer is \(\frac{12}{30}=\frac{4}{10}=40\% \)
\(\textbf{4)}\) 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? The answer is \(\frac{0}{30}=0\% \)
True or False
\(\textbf{5)}\) In probability, the sample space is the set of all possible outcomes of an experiment. The statement is True.
\(\textbf{6)}\) The probability of an event always lies between 0 and 1, inclusive. The statement is True.
\(\textbf{7)}\) If two events are independent, the occurrence of one does not affect the occurrence of the other. The statement is True.
\(\textbf{8)}\) Conditional probability is the probability of one event occurring given that another event has already occurred. The statement is True.