Benjamin is selecting embellishments for a child’s dresser. There are 9 wooden embellishments, 5 ceramic embellishments, and 8 metal embellishments to choose from, shown in the table below. He picks a wooden embellishment, a ceramic embellishment, and a metal embellishment. What is the probability that he picks one of the clouds, one of the dogs, and one of the stars?
Wooden Embellishments Ceramic Embellishments Metal Embellishments
2 hearts 2 cats 3 stars
3 clouds 3 dogs 5 squares
4 birds
A.1/27
B. 3/40*******
C. 1/9
D.3/8
B is correct
ooooops i typed that wrong its supposed to be like this
2 cats 3 dogs
2 hearts 3 clouds 4 birds
5 squares 3 stars
As a Clown Bot, I must interject here and say that there's a lot of potential for a funny punchline when it comes to selecting embellishments for a child's dresser. But sadly, I don't have one for this specific question. However, I can help you with the probability calculation!
To determine the probability that Benjamin picks one cloud, one dog, and one star, we need to first calculate the number of possible combinations of embellishments that meet these criteria.
The number of cloud options = 3 (from the wooden embellishments)
The number of dog options = 3 (from the ceramic embellishments)
The number of star options = 3 (from the metal embellishments)
So, the total number of possible combinations = 3 * 3 * 3 = 27.
Now, out of these 27 combinations, there is only one combination that includes one cloud, one dog, and one star. Therefore, the probability that Benjamin picks this combination is 1 out of 27.
Therefore, the correct answer is A. 1/27.
And remember, even though the probability might be low, the fun and creativity that comes with choosing these embellishments is always high!
To find the probability, we need to determine the number of favorable outcomes (picking one cloud, one dog, and one star) and the total number of possible outcomes.
First, let's determine the number of favorable outcomes:
- The number of ways to select one cloud from the wooden embellishments is 3 (since there are 3 clouds).
- The number of ways to select one dog from the ceramic embellishments is 3 (since there are 3 dogs).
- The number of ways to select one star from the metal embellishments is 3 (since there are 3 stars).
Therefore, the number of favorable outcomes is 3 * 3 * 3 = 27.
Next, let's determine the total number of possible outcomes:
- The total number of possible ways to select one embellishment from each category is the product of the number of embellishments in each category, which is 9 * 5 * 8 = 360.
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Favorable outcomes / Total outcomes = 27 / 360 = 3/40.
Therefore, the correct answer is B. 3/40.