The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.
Given information-
The card is selected random from the deck of cards.
Total number of trails is 40.
It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.
As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,
[tex]f_r=\dfrac{11}{40}\\f_r=0.3[/tex]
In the percentage from,
[tex]f_r={0.3}\times100\\f_r=30[/tex]
Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
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