A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.

What is the relative frequency of selecting a heart?

Responses

15%
15%

25%
25%

27%
27%

35%
35%
Outcome Club Diamond Heart Spade
Number of trials 8 12 14 6

1 answer

To find the relative frequency of selecting a heart, we can use the following formula:

\[ \text{Relative Frequency} = \frac{\text{Number of hearts selected}}{\text{Total number of trials}} \]

From the table, we see that the number of trials (total selected cards) is 40, and the number of hearts selected is 14.

Now we can calculate the relative frequency:

\[ \text{Relative Frequency of hearts} = \frac{14}{40} = 0.35 \]

To express this as a percentage, we multiply by 100:

\[ 0.35 \times 100 = 35% \]

So, the relative frequency of selecting a heart is 35%.