[tex] |\Omega|=50 [/tex]
A)
[tex] |A|=\dfrac{20}{50}=\dfrac{2}{5} [/tex]
B)
[tex] |A|=35\\\\
P(A)=\dfrac{35}{50}=\dfrac{7}{10} [/tex]
we have 20 pennies, 15 nickels, 3 dimes and 12 quarters, so the sample space of the jar is simply 20+15+3+12 = 50.
A)
sample space is 50, favorable outcomes is well, there are 20 pennies, so 20,
[tex] \bf \cfrac{20}{50}\implies \cfrac{2}{5}\implies 0.4\implies 0.4\cdot 100\implies \stackrel{\%}{40} [/tex]
B)
something to keep in mind is that the keyword AND means multiplication, and the keyword OR means addition.
there are 20 pennies and 15 nickels.
[tex] \bf \cfrac{\stackrel{\textit{favorable outcomes}}{20}}{\stackrel{\textit{sample space}}{50}}~~~~\stackrel{\stackrel{OR}{\downarrow }}{+}~~~~\cfrac{\stackrel{\textit{favorable outcomes}}{15}}{\stackrel{\textit{sample space}}{50}}\implies \cfrac{20+15}{50}
\\\\\\
\cfrac{35}{50}\implies \cfrac{7}{10}\implies 0.7\implies 0.7\cdot 100\implies \stackrel{\%}{70} [/tex]
