Six Sigma Green Belt Certification Practice Exam

In a bag containing poker chips, what is the probability of pulling out a blue chip, followed by a green chip, then a red chip?

1. 3.5%

2. 5.9%

3. 3.4%

4. 2.1%

The correct answer is: 3.5%

To determine the probability of pulling out a blue chip, followed by a green chip, and then a red chip from a bag of poker chips, it’s important to understand how to calculate probabilities in succession. Assuming that the bag contains a certain number of blue, green, and red chips, the overall probability of drawing these chips can be calculated by multiplying the individual probabilities of drawing each chip in sequence. For example, if there are a total of 100 chips in the bag with known quantities of each color (let's say 10 blue, 20 green, and 30 red), the probability of drawing a blue chip first would be the number of blue chips divided by the total number of chips, which is 10/100 or 0.1. After pulling a blue chip, there are now 99 chips remaining, so the probability of pulling a green chip would be 20/99. Finally, after removing both the blue and green chip, the chance of drawing a red chip would be 30/98. The total probability is found by multiplying these probabilities together. This method gives you the probability of drawing one of each color in that specific order. If these calculated probabilities yield an answer of 3.5%,