A bag has 10 green, 5 white, and 4 green balls. One ball is drawn at random. What is the probability that it is white?

Answer

To solve the problem of finding the probability of drawing a white ball from a bag containing different colored balls, we can follow these steps:

### Step 1: Identify the number of balls of each color
- The bag contains:
- 10 green balls
- 5 white balls
- 4 blue balls (Note: The transcript mentions "green" again, but it should be "blue" based on the context of the question.)

### Step 2: Calculate the total number of balls in the bag
- Total number of balls = Number of green balls + Number of white balls + Number of blue balls
- Total number of balls = 10 (green) + 5 (white) + 4 (blue) = 19 balls

### Step 3: Identify the number of favorable outcomes for drawing a white ball
- The number of favorable outcomes (white balls) = 5

### Step 4: Calculate the probability of drawing a white ball
- Probability (P) of an event is given by the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
- Therefore, the probability of drawing a white ball is:
\[ P(\text{white ball}) = \frac{5 \text{ (white balls)}}{19 \text{ (total balls)}} \]

### Step 5: Simplify the probability
- The probability of drawing a white ball is:
\[ P(\text{white ball}) = \frac{5}{19} \]

### Final Answer
The probability of drawing a white ball from the bag is \(\frac{5}{19}\).

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