Using a standard deck of cards, a gamer drew one card and recorded its value. They continued this for a total of 100 draws. The table shows the frequency of each card drawn.

Card A 2 3 4 5 6 7 8 9 10 J Q K
Frequency 4 7 5 6 7 6 8 10 7 10 8 12 10

Based on the table, what is the experimental probability that the card selected was a 3, 5, or 7?
one fifth
one third
3 over 10
6 over 13

1 answer

To find the experimental probability that the card selected was a 3, 5, or 7, we first need to determine the total frequency of these specific cards based on the information provided in the table.

From the table, we have the following frequencies:

Frequency of 3 = 5
Frequency of 5 = 7
Frequency of 7 = 8

Now, we can add these frequencies together:

\[ \text{Total frequency of (3, 5, 7)} = 5 + 7 + 8 = 20 \]

Next, we need to find the total number of draws, which is provided as 100.

Now, we can calculate the experimental probability of drawing either a 3, 5, or 7:

\[ \text{Experimental probability} = \frac{\text{Total frequency of (3, 5, 7)}}{\text{Total number of draws}} = \frac{20}{100} = \frac{1}{5} \]

Thus, the experimental probability that the card selected was a 3, 5, or 7 is one fifth.