Final answer:
The probability of Gavin picking a pink sweet from the tin is 3/20, calculated by dividing the 3 pink sweets by the total of 20 sweets.
Step-by-step explanation:
The probability that Gavin will pick a pink sweet is determined by dividing the number of pink sweets by the total number of sweets in the tin. To find the probability, we count the number of pink sweets and the total number of sweets:
- Number of pink sweets: 3
- Total number of sweets: 4 (green) + 1 (black) + 5 (yellow) + 3 (pink) + 7 (red) = 20
Next, we calculate the probability:
P(pink) = Number of pink sweets / Total number of sweets = 3/20
Thus, the probability of picking a pink sweet is 3/20.