Okay, now I see a close-up of the Lemon candies. In this view, I can clearly count five distinct yellow candies labeled "Lemon": one at the top right, two in the middle, and two near the bottom. To ensure I have counted all of them, I will now examine the rest of the image for any other Lemon candies that might be partially visible.
Based on my detailed examination of the image, I have successfully counted the candies by flavor:
- Grape: 4 pieces
- Cherry: 3 pieces
- Lemon: 5 pieces
The total number of candies is 4 + 3 + 5 = 12 pieces.
Now I am ready to answer each question using these counts.
1) How many total pieces of candy are in the box?
There are 12 total pieces of candy.
2) What is the probability of selecting a cherry piece?
The probability is the number of cherry pieces divided by the total number of pieces.
P(Cherry) = 3 / 12 = 1/4 or 0.25.
3) What is the probability of selecting a lemon piece?
The probability is the number of lemon pieces divided by the total number of pieces.
P(Lemon) = 5 / 12 ≈ 0.417.
4) What is the probability of selecting a grape piece?
The probability is the number of grape pieces divided by the total number of pieces.
P(Grape) = 4 / 12 = 1/3 ≈ 0.333.
5) If you picked 1 piece of candy out of the box which flavor would you have the highest probability of selecting?
The flavor with the highest probability is Lemon, since it has the most pieces (5 out of 12).
6) Which flavor has the lowest probability of being selected?
The flavor with the lowest probability is Cherry, since it has the fewest pieces (3 out of 12).
7) If you picked a piece at random would you be more likely to select, a lemon piece or a cherry piece?
You would be more likely to select a lemon piece because there are more lemon pieces (5) than cherry pieces (3).
8) What is the probability of selecting either a cherry piece OR a grape piece?
To find this, we add the probabilities of selecting a cherry piece and a grape piece.
P(Cherry or Grape) = P(Cherry) + P(Grape) = 3/12 + 4/12 = 7/12 ≈ 0.583.
9) Your friend wants either a cherry piece or a grape piece. If you picked a piece out randomly, which one would you have the highest probability of selecting?
Between cherry and grape, grape has a higher probability (4/12) than cherry (3/12). So, you would have the highest probability of selecting a grape piece.
10) If you ate 3 lemon pieces, 3 cherry pieces and 4 grape pieces, what flavor would you have the highest probability of selecting next?
If you ate all the candies, there would be no candies left in the box. Therefore, the probability of selecting any flavor next would be 0. However, if the question implies that you ate those amounts from a larger supply and are now selecting from the remaining candies, the problem lacks information about the initial total count before eating. Based on the image provided, which shows only 12 candies total, eating 3+3+4=10 candies would leave only 2 candies. But since the image doesn't specify which flavors remain, we cannot determine the next highest probability. Given the context of the worksheet, it's likely a trick question implying that after eating all the candies shown, none are left.
Parent Tip: Review the logic above to help your child master the concept of 3rd grade probability worksheet.
