Answer :
The probability of selecting a red counter is 5/12, the probability of selecting a blue counter is 4/12, and the probability of selecting a white counter is 3/12.
When a counter is drawn randomly from the bag, the probabilities of selecting a red, blue, or white counter can be calculated based on their respective ratios. The given ratio of red to blue to white counters is 5:4:3, which adds up to a total of 12 parts (5 + 4 + 3). To find the probability of selecting each color, we divide the number of each color by the total number of counters.
Red Counters (5/12) There are 5 parts dedicated to red counters in the ratio. So, the probability of drawing a red counter is 5 out of the total 12 parts, which simplifies to 5/12.
Blue Counters (4/12) Similarly, there are 4 parts for blue counters in the ratio. Therefore, the probability of drawing a blue counter is 4 out of 12 parts, which simplifies to 4/12 or 1/3.
White Counters (3/12) Lastly, there are 3 parts for white counters in the ratio. Hence, the probability of drawing a white counter is 3 out of 12 parts, which simplifies to 3/12 or 1/4.
In summary, the probabilities of selecting a red, blue, or white counter are 5/12, 4/12 (or 1/3), and 3/12 (or 1/4) respectively.
The concept of probability involves understanding the likelihood of events occurring within a set of possibilities. Ratios and proportions are fundamental in determining probabilities, particularly when dealing with multiple outcomes.
By calculating probabilities, we gain insights into the distribution of outcomes and can make informed decisions in various scenarios, ranging from games of chance to real-world applications in fields like statistics, economics, and science. Understanding and calculating probabilities are essential skills for making predictions and analyzing uncertain situations.
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