A bag contains 7 white balls ,9 green balls and 10 yellow balls . A ball is drawn at random from the bag . What is the probability that it will be
white

Answer

To find the probability of drawing a white ball from the bag, we can follow these steps:

### Step 1: Identify the number of each type of ball in the bag.
- White balls = 7
- Green balls = 9
- Yellow balls = 10

### Step 2: Calculate the total number of balls in the bag.
To find the total number of balls, we add the number of white, green, and yellow balls together:
\[ \text{Total balls} = \text{White balls} + \text{Green balls} + \text{Yellow balls} = 7 + 9 + 10 \]
\[ \text{Total balls} = 26 \]

### Step 3: Identify the favorable outcomes.
The favorable outcome for drawing a white ball is simply the number of white balls:
\[ \text{Favorable outcomes} = 7 \text{ (white balls)} \]

### Step 4: Calculate the probability of drawing a white ball.
The probability \( P \) of drawing a white ball is given by the formula:
\[ P(\text{white}) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{7}{26} \]

### Final Answer:
The probability that a ball drawn at random from the bag will be white is:
\[ \frac{7}{26} \]

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