To find the probability of selecting a banana nut muffin, we need to divide the number of banana nut muffins by the total number of muffins available.
Total number of banana nut muffins = 25
Total number of muffins = sum of all muffins = 10 (blackberry) + 25 (banana nut) + 1 (chocolate chip) + 11 (blueberry) + 3 (pumpkin spice) = 50
Now, we can calculate the probability:
[tex]\[ P(\text{banana nut muffin}) = \frac{\text{Number of banana nut muffins}}{\text{Total number of muffins}} \]\[ P(\text{banana nut muffin}) = \frac{25}{50} \]\[ P(\text{banana nut muffin}) = \frac{1}{2} \][/tex]
So, the probability that a randomly selected muffin will be a banana nut muffin is [tex]\( \frac{1}{2} \) or 0.5.[/tex]
Answer:
1/2
Step-by-step explanation:
First, calculate the total number of muffins:
[tex]\text{Total number of muffins} = 10 + 25 + 1 + 11 + 3 = 50[/tex]
Now, calculate the probability [tex]P(\text{banana nut muffin})[/tex] , which is the number of banana nut muffins divided by the total number of muffins:
[tex]P(\text{banana nut muffin}) = \frac{\text{Number of banana nut muffins}}{\text{Total number of muffins}} = \frac{25}{50}[/tex]
[tex]P(\text{banana nut muffin}) = \frac{25}{50} = \frac{1}{2}[/tex]