Question

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

Answer 1

The experimental probability of drawing a 3, 5, or 7 from a standard deck of cards, based on the frequency table provided, is 1/5.

Step-by-step explanation:

To calculate the experimental probability of drawing a 3, 5, or 7 from a standard deck of cards, we will use the frequencies provided in the table. First, we must find the total frequency for these three specific card values.

• Frequency of drawing a 3: 5
• Frequency of drawing a 5: 7
• Frequency of drawing a 7: 8

Next, we add these frequencies together to get the total frequency of drawing a 3, 5, or 7:

5 (for 3) + 7 (for 5) + 8 (for 7) = 20

Now, we divide this number by the total number of draws to get the experimental probability:

20 (total frequency of 3, 5, or 7) / 100 (total draws) = 1/5 or 0.20

Therefore, the experimental probability of selecting a 3, 5, or 7 is 1/5.