The experimental probability is 1/15 less than the theoretical probability.
Given
A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings.
Carlie chooses a card from the set, records the type of card, and then replaces the card.
She repeats this procedure a total of 60 times. Her results are shown in the table.
What is experimental probability?
Theoretical probability describes how likely an event is to occur.
The theoretical probability of choosing a Queen is;
[tex]\rm Theoretical\ probability= \dfrac{Observed \ frequency}{Probability \ of \ selecting \ Queen}\\\\ Theoretical\ probability= \dfrac{16}{4}\\\\ Theoretical\ probability= \dfrac{4}{1}[/tex]
What is experimental probability?
Experimental probability describes how frequently an event actually occurred in an experiment.
The experimental probability of choosing a Queen is;
[tex]\rm Experimental \ probability = Relative \ frequency\\\\Experimental \ probability = \dfrac{4}{15}[/tex]
For comparing the theoretical and experimental probability of both equations.
[tex]\rm =\dfrac{Experimental \ probability}{Theoretical \ probability}\\\\= \dfrac{\dfrac{4}{15}}{\dfrac{4}{1}}\\\\= \dfrac{4}{15}\times \dfrac{1}{4}\\\\= \dfrac{1}{15}[/tex]
Hence, the experimental probability is 1/15 less than the theoretical probability.
To know more about Experimental probability click the link given below.
https://brainly.com/question/3733849
