Question

Using a standard deck of 52 cards, Lisa drew a card, recorded the suit of the card picked, then replaced it back in the deck. She continued this for a total of 40 draws. The table shows the frequency of each type of card drawn.


Diamonds Spades Hearts Clubs
7 11 9 13

Determine the experimental probability of not selecting a heart.
P(not heart) = 9%
P(not heart) = 10%
P(not heart) = 67.5%
P(not heart) = 77.5%

Answer 1

To determine the experimental probability of not selecting a heart, we first need to find the total number of draws that resulted in hearts and then subtract that from the total number of draws.

From the table:

- The number of hearts drawn is 9.
- The total number of draws is 40.

The number of draws that are not hearts is:

\[
\text{Number of not hearts} = \text{Total draws} - \text{Number of hearts} = 40 - 9 = 31
\]

Now, we can calculate the experimental probability of not selecting a heart:

\[
P(\text{not heart}) = \frac{\text{Number of not hearts}}{\text{Total draws}} = \frac{31}{40}
\]

Now, we convert this fraction into a percentage:

\[
P(\text{not heart}) = \frac{31}{40} \times 100 = 77.5\%
\]

Thus, the experimental probability of not selecting a heart is:

**P(not heart) = 77.5%**.