To determine the experimental probability of not selecting a diamond from Lisa's draws, let's follow the step-by-step solution:
1. Identify the Total Number of Draws:
Lisa performed a total of 40 draws.
2. Identify the Number of Diamond Draws:
According to the given data, the number of times a diamond was drawn is 7.
3. Calculate the Number of Non-Diamond Draws:
To find out how many draws were not diamonds, we subtract the number of diamond draws from the total number of draws:
[tex]\[
\text{Number of non-diamond draws} = \text{Total number of draws} - \text{Number of diamond draws}
\][/tex]
[tex]\[
\text{Number of non-diamond draws} = 40 - 7 = 33
\][/tex]
4. Calculate the Experimental Probability:
The experimental probability of an event is given by the ratio of the number of successful outcomes (in this case, not drawing a diamond) to the total number of trials (total draws). Here, we are interested in the probability of not drawing a diamond:
[tex]\[
P(\text{not diamond}) = \frac{\text{Number of non-diamond draws}}{\text{Total number of draws}}
\][/tex]
[tex]\[
P(\text{not diamond}) = \frac{33}{40}
\][/tex]
5. Express the Probability as a Percentage:
To convert this fraction to a percentage, we multiply by 100:
[tex]\[
P(\text{not diamond}) = \left( \frac{33}{40} \right) \times 100 = 82.5\%
\][/tex]
Thus, the experimental probability of not selecting a diamond is [tex]\( 82.5\% \)[/tex].
So, the correct answer is:
[tex]\[ P(\text{not diamond}) = 82.5\% \][/tex]
