A bowl of candies has 5 red pieces, 4 green pieces and 6 yellow pieces. 
What is the probability of randomly selecting a yellow piece?

To calculate the probability of randomly selecting a yellow piece from the bowl of candies, follow these steps:

1. **Total number of candies:** 
   - Red pieces: 5
   - Green pieces: 4
   - Yellow pieces: 6

   The total number of candies is the sum of all the pieces:
   \[
   \text{Total number of candies} = 5 + 4 + 6 = 15
   \]

2. **Number of favorable outcomes:** 
   The favorable outcome is selecting a yellow piece, and there are 6 yellow pieces.

3. **Probability formula:** 
   The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes:
   \[
   \text{Probability of selecting a yellow piece} = \frac{\text{Number of yellow pieces}}{\text{Total number of candies}} = \frac{6}{15}
   \]

4. **Simplify the fraction:**
   \[
   \frac{6}{15} = \frac{2}{5}
   \]

Thus, the probability of randomly selecting a yellow piece is \( \frac{2}{5} \) or 0.4.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the probability of selecting a red piece?
2. What is the probability of selecting a green piece?
3. What is the probability of not selecting a yellow piece?
4. If two pieces are selected randomly, what is the probability that both are yellow?
5. What is the probability of selecting a red or green piece?

**Tip:** Always simplify fractions in probability problems to their lowest terms for clarity.

A bowl of candies has 5 red pieces, 4 green pieces, and 6 yellow pieces. What is the probability of randomly selecting a yellow piece?

Calculate the probability of selecting a yellow candy from a bowl containing 5 red, 4 green, and 6 yellow pieces. This problem introduces basic probability concepts suitable for students in Grades 6-8.

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