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There are 2 Red, 3 Blue and 5 Black balls in a bag. A ball is drawn from the bag without looking in to the bag. What is the probability of getting a non-black ball?
- a)3/5
- b)2/5
- c)1/2
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There are 2 Red, 3 Blue and 5 Black balls in a bag. A ball is drawn fr...
Understanding the Problem
In this problem, we have a total of balls in the bag:
- 2 Red balls
- 3 Blue balls
- 5 Black balls
We need to find the probability of drawing a non-black ball.
Total Number of Balls
To calculate the total number of balls in the bag, we sum up all the balls:
- Total = Red + Blue + Black
- Total = 2 + 3 + 5 = 10 balls
Identifying Non-Black Balls
Next, we determine the number of non-black balls:
- Non-black balls = Red + Blue
- Non-black balls = 2 + 3 = 5 balls
Calculating the Probability
The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes. In our case:
- Favorable outcomes = Number of non-black balls = 5
- Total outcomes = Total number of balls = 10
Thus, the probability of drawing a non-black ball is:
Probability = (Number of non-black balls) / (Total number of balls)
Probability = 5 / 10
Simplifying the Probability
Now, we simplify the fraction:
- 5 / 10 = 1 / 2
Conclusion
The probability of drawing a non-black ball is 1/2, which corresponds to option 'C'.
In this problem, we have a total of balls in the bag:
- 2 Red balls
- 3 Blue balls
- 5 Black balls
We need to find the probability of drawing a non-black ball.
Total Number of Balls
To calculate the total number of balls in the bag, we sum up all the balls:
- Total = Red + Blue + Black
- Total = 2 + 3 + 5 = 10 balls
Identifying Non-Black Balls
Next, we determine the number of non-black balls:
- Non-black balls = Red + Blue
- Non-black balls = 2 + 3 = 5 balls
Calculating the Probability
The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes. In our case:
- Favorable outcomes = Number of non-black balls = 5
- Total outcomes = Total number of balls = 10
Thus, the probability of drawing a non-black ball is:
Probability = (Number of non-black balls) / (Total number of balls)
Probability = 5 / 10
Simplifying the Probability
Now, we simplify the fraction:
- 5 / 10 = 1 / 2
Conclusion
The probability of drawing a non-black ball is 1/2, which corresponds to option 'C'.
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