Get the information you need quickly and easily with IDNLearn.com. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.
Sagot :
To find the probability that Melissa chooses a marble that is not blue, follow these steps:
1. Determine the total number of marbles in the bag:
- There are 6 red marbles.
- There are 8 yellow marbles.
- There are 18 blue marbles.
- Therefore, the total number of marbles can be calculated by summing these quantities:
[tex]\[ 6 + 8 + 18 = 32 \][/tex]
So, there are 32 marbles in total.
2. Determine the number of marbles that are not blue:
- Since we know there are 18 blue marbles, we can subtract this from the total number of marbles to find the number of non-blue marbles:
[tex]\[ 32 - 18 = 14 \][/tex]
Hence, there are 14 marbles that are either red or yellow.
3. Calculate the probability of drawing a marble that is not blue:
- Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
- In this case, the favorable outcomes are drawing one of the 14 non-blue marbles from the 32 total marbles:
[tex]\[ \text{Probability (not blue)} = \frac{\text{Number of non-blue marbles}}{\text{Total number of marbles}} = \frac{14}{32} \][/tex]
- Simplifying this fraction, we get:
[tex]\[ \frac{14}{32} = \frac{7}{16} \][/tex]
Therefore, the probability that Melissa chooses a marble that is not blue is [tex]\(\frac{7}{16}\)[/tex].
The correct answer is:
C. [tex]\(\frac{7}{16}\)[/tex]
1. Determine the total number of marbles in the bag:
- There are 6 red marbles.
- There are 8 yellow marbles.
- There are 18 blue marbles.
- Therefore, the total number of marbles can be calculated by summing these quantities:
[tex]\[ 6 + 8 + 18 = 32 \][/tex]
So, there are 32 marbles in total.
2. Determine the number of marbles that are not blue:
- Since we know there are 18 blue marbles, we can subtract this from the total number of marbles to find the number of non-blue marbles:
[tex]\[ 32 - 18 = 14 \][/tex]
Hence, there are 14 marbles that are either red or yellow.
3. Calculate the probability of drawing a marble that is not blue:
- Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
- In this case, the favorable outcomes are drawing one of the 14 non-blue marbles from the 32 total marbles:
[tex]\[ \text{Probability (not blue)} = \frac{\text{Number of non-blue marbles}}{\text{Total number of marbles}} = \frac{14}{32} \][/tex]
- Simplifying this fraction, we get:
[tex]\[ \frac{14}{32} = \frac{7}{16} \][/tex]
Therefore, the probability that Melissa chooses a marble that is not blue is [tex]\(\frac{7}{16}\)[/tex].
The correct answer is:
C. [tex]\(\frac{7}{16}\)[/tex]
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.