8. A bowl contains 18 pieces of candy: 8 red, 6 orange, and 4 green. Brandon will select 1 piece of candy at random. What is the probability that Brandon will select a green piece?
Answer: B
The probability that Brandon will select a green piece is 2/9.
To determine the probability of selecting a green piece of candy, we divide the number of green candies by the total number of candies. There are 4 green candies out of a total of 18 candies, which simplifies to 2/9 when reduced.
A) 2/7
This option is incorrect because it does not accurately represent the ratio of green candies to the total number of candies. The probability calculation shows that there are 4 green candies out of 18, which does not simplify to 2/7.
B) 2/9
This option is correct as it represents the accurate probability of selecting a green piece of candy. With 4 green candies and a total of 18 candies, the probability is calculated as 4/18, which simplifies to 2/9.
C) 2/11
This option is incorrect because it suggests a different total number of candies or a miscalculation of the green candies. The probability should be based on the actual counts provided, which do not support 2/11.
D) 1/9
This option is incorrect as it underestimates the probability of selecting a green candy. The correct calculation shows that the probability is 2/9, not 1/9, given the total number of candies.
E) 1/8
This option is incorrect because it does not reflect the actual number of green candies compared to the total. The calculation clearly indicates that the correct probability is 2/9, not 1/8.
Conclusion
The correct answer, 2/9, accurately reflects the probability of selecting a green piece of candy based on the given counts. All other options fail to represent the proper ratio of green candies to the total, demonstrating a misunderstanding of basic probability calculations. Thus, B is definitively the right choice.