An urn contains 9 red 7 white and 4 black balls. A ball is drawn at random. The probability that ball drawn is neither black nor red is

Options

A. `13/20`
B. `7/20`
C. `9/20`
D. `1/5`

Answer

To solve the problem step by step, we will calculate the probability that a ball drawn from the urn is neither black nor red.

### Step 1: Identify the number of each color of balls in the urn.
- Red balls = 9
- White balls = 7
- Black balls = 4

### Step 2: Calculate the total number of balls in the urn.
Total number of balls = Number of red balls + Number of white balls + Number of black balls
Total number of balls = 9 + 7 + 4
Total number of balls = 20

### Step 3: Determine the number of balls that are neither black nor red.
The balls that are neither black nor red are the white balls.
Number of white balls = 7

### Step 4: Calculate the probability that a ball drawn is neither black nor red.
Probability (neither black nor red) = (Number of white balls) / (Total number of balls)
Probability (neither black nor red) = 7 / 20

### Final Answer:
The probability that the ball drawn is neither black nor red is **7/20**.

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