There are two balls in an urn whose colours are not known (each ball c...
There are two balls in an urn whose colours are not known (each ball c...
Given Information:
- There are two balls in an urn.
- The colors of the balls are not known.
- A white ball is put into the urn.
- A ball is drawn from the urn.
To find:
The probability that the ball drawn from the urn is white.
Solution:
Let's analyze the problem step by step.
Possible Combinations:
Since there are two balls in the urn, the possible combinations of colors are:
1. White, White
2. White, Black
3. Black, White
4. Black, Black
Given Information:
We are given that a white ball is put into the urn. This means that one of the possible combinations is eliminated, and we are left with the following combinations:
1. White, White
2. White, Black
Possible Outcomes:
We need to determine the probability of drawing a white ball from the urn. Since one ball is already known to be white, the possible outcomes are:
1. White (from the combination White, White)
2. White (from the combination White, Black)
Probability Calculation:
The probability of drawing a white ball can be calculated by dividing the number of favorable outcomes (white balls) by the total number of possible outcomes (balls in the urn).
Number of Favorable Outcomes:
From the possible outcomes, we can see that there are 2 favorable outcomes (white balls).
Total Number of Possible Outcomes:
From the given information, we know that there are 2 balls in the urn.
Probability:
The probability of drawing a white ball can be calculated as:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Substituting the values, we get:
Probability = 2 / 2 = 1
Therefore, the probability that the ball drawn from the urn is white is 1 or 100%.
Answer:
The correct answer is option 'C' - 2/3.
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