From the question, we can summarize that there are 76 non-raisins and 13 raisins. All in all, there are a total of 89 sweets in the bag.
There are 76 non-raisins because 36 peanuts + 21 almonds + 19 chocolate candies = 76.
To solve for the probability of picking a non-raisin sweet, we have the formula below:
[tex]P=\frac{\text{total no. of non-raisin}}{\text{total no. of sweets in the bag}}[/tex]Let's plug in the values that we have identified in the formula above.
[tex]P=\frac{76}{89}=0.8539[/tex]Therefore, the probability of not picking a raisin is 76/89 or 85.39%.