Each of the following questions below consists of a question and two statements numbered I and Il given. You have to decide whether the data provided in the statements is sufficient to answer the questions. Give answer
In a box three types of balls are there, Black, Red and White. If no. of white balls is given then find out the probability of getting one white ball.
I. Probability of getting one Red ball is given.
II. Probability of getting one black ball is given.

Options

A. If the data given in statement I alone is sufficient to answer the question while the data in statement II alone is not sufficient to answer the question.
B. If the data given in statement ll alone is sufficient to answer the question while the data in statement I alone is not sufficient to answer the question.
C. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
D. If the data in neither statement I nor II is sufficient to answer the question.

Answer

To solve the problem, we need to determine whether the information provided in the two statements (I and II) is sufficient to find the probability of selecting one white ball from a box containing black, red, and white balls.

### Step-by-Step Solution:

1. **Understanding the Question**:
We need to find the probability of getting one white ball. The probability can be calculated using the formula:
\[ P(\text{White}) = \frac{\text{Number of White Balls}}{\text{Total Number of Balls}} \]

2. **Analyzing Statement I**:
Statement I provides the probability of getting one red ball.
- Let’s denote the number of red balls as \( R \), black balls as \( B \), and white balls as \( W \).
- The probability of getting a red ball is given by:
\[ P(\text{Red}) = \frac{R}{R + B + W} \]
- While this gives us information about the red balls, it does not provide any information about the number of white balls or the total number of balls. Therefore, we cannot determine the probability of getting a white ball from this statement alone.

3. **Analyzing Statement II**:
Statement II provides the probability of getting one black ball.
- The probability of getting a black ball is given by:
\[ P(\text{Black}) = \frac{B}{R + B + W} \]
- Similar to Statement I, this gives us information about the black balls but does not provide any information about the number of white balls or the total number of balls. Hence, we cannot determine the probability of getting a white ball from this statement alone.

4. **Combining Statements I and II**:
Even when we combine both statements, we still do not have enough information to find the number of white balls or the total number of balls.
- We know the probabilities of red and black balls, but without knowing the total number of balls or the number of white balls, we cannot compute the probability of selecting a white ball.

5. **Conclusion**:
Since neither statement alone nor both statements combined provide sufficient information to determine the probability of getting one white ball, we conclude that the data in neither statement is sufficient to answer the question.

### Final Answer:
The answer is that the data in neither statement I nor statement II is sufficient to answer the question.