Answer:
Theoretical Probability of picking a purple marble from jar is [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given: 20 yellow marbles , 55 green marbles and 25 purple marbles in jar.
To find: Theoretical Probability of picking a purple marble
[tex]Theoretical\,Probability=\frac{No.\,of\,favourale\,outcome}{Total\,No.\,of\,outcome}[/tex]
No of Yellow Marble = 20
No of Green Marble = 55
No of Purple Marble = 25
⇒ Total No. of marble = 20 + 55 + 25 = 100
Let E be the event of picking a Purple Marble from jar
⇒ [tex]Probability\,(Event\,E)=\frac{25}{100}[/tex]
[tex]Probability=\frac{1}{4}[/tex]
Therefore, Theoretical Probability of picking a purple marble from jar is [tex]\frac{1}{4}[/tex]
