Answer: [tex]\dfrac{3}{15},\dfrac{28}{75},\dfrac{4}{25},\dfrac{4}{15}[/tex]
Step-by-step explanation:
Given
A jar contains 15 Pennies, 28 Nickels, 12 dimes, and 20 quarters
Probability is the ratio of favorable to the total outcome
The total entities in the jar are 75
(a) Probability of selecting a penny
[tex]\Rightarrow \dfrac{15}{75}\\\\\Rightarrow \dfrac{3}{15}[/tex]
(b) Probability of selecting a nickel
[tex]\Rightarrow \dfrac{28}{75}[/tex]
(c) Probability of selecting a dime
[tex]\Rightarrow \dfrac{12}{75}\\\\\Rightarrow \dfrac{4}{25}[/tex]
(d) Probability of selecting a quarter
[tex]\Rightarrow \dfrac{20}{75}\\\\\Rightarrow \dfrac{4}{15}[/tex]