In a table-based probability question, not points to every category except the named one. Add the counts in those categories, then divide by the total number of possible picks. Desmos can evaluate the fraction once you've chosen its numerator and denominator. Counting only one remaining category misses outcomes the question asks for.
Hints
- Hint 1
The word not rules out the named color. The favorable outcomes are the candies in the remaining rows. Which rows are those, and what counts do they have?
- Hint 2
The sample space is every candy that could be selected, so the whole jar goes below the count you found. Which table entry gives that total?
Step-by-step
Count the candies that are not green
Step 1Identify the matching candies
Not green means yellow or purple. The table lists yellow and purple candies, so the favorable count, the number that matches the question, is .
- Step 2
Put the count over the whole jar
One candy is picked from the whole jar of , so is the denominator. Probability is the matching count divided by the total count: .
- Step 3
Evaluate the probability
Type into Desmos. It shows ; tap the fraction button to see . So the probability of selecting a candy that is not green is . Choice B.