Sammy likes to mix and match her 4 necklaces , 2 bracelets, and 3 hats. The colors are listed in the table. ON Monday, she randomly picks a bracelet, a necklace, and a hat. what is the probability of Sammy choosing a red necklace and a yellow bracelet.
A. 1/2
B.1/5
C.1/9
D.1/8
Please show me how to do it also :)
I do not see your table.
However if there is just one of each color of each thing then
1/4 * 1/2 = 1/8
The hat could be any old color.
Well, Sammy has a total of 4 necklaces, 2 bracelets, and 3 hats to choose from. Since she is picking one of each, we can find the probability by multiplying the probabilities of each individual choice.
There is 1 red necklace out of 4 total necklaces, so the probability of picking a red necklace is 1/4.
Similarly, there is 1 yellow bracelet out of 2 total bracelets, so the probability of picking a yellow bracelet is 1/2.
Since we are assuming Sammy chooses randomly, the probability of her picking a red necklace and a yellow bracelet would be the product of these probabilities:
P(red necklace and yellow bracelet) = P(red necklace) × P(yellow bracelet) = 1/4 × 1/2 = 1/8
So, the correct answer is D. 1/8
To find the probability of Sammy choosing a red necklace and a yellow bracelet, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Note that there are 4 necklaces, 2 bracelets, and 3 hats. The total number of possible outcomes when Sammy randomly picks a bracelet, a necklace, and a hat is obtained by multiplying the number of options for each item:
Total number of possible outcomes = 4 (necklaces) × 2 (bracelets) × 3 (hats) = 24 outcomes.
Now, Sammy wants to choose a red necklace and a yellow bracelet. We need to determine how many outcomes satisfy both of these conditions.
The number of favorable outcomes is the product of the number of options for each desired item:
Number of favorable outcomes = 1 (red necklace) × 1 (yellow bracelet) × 3 (hats) = 3 outcomes.
So, the probability of Sammy choosing a red necklace and a yellow bracelet is the ratio of the number of favorable outcomes to the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 3 / 24
= 1 / 8.
Therefore, the answer is D. 1/8.
To find the probability of Sammy choosing a red necklace and a yellow bracelet, we need to determine the total number of possible combinations and the number of favorable outcomes.
First, let's look at the table and determine the number of different options for each item:
- Necklaces: 4 options
- Bracelets: 2 options
- Hats: 3 options
To find the total number of possible combinations, we multiply the number of options for each item:
Total Combinations = (Number of Necklaces) x (Number of Bracelets) x (Number of Hats)
= 4 x 2 x 3
= 24
Now, we need to determine the number of favorable outcomes, which is the number of ways Sammy can choose a red necklace and a yellow bracelet. From the table, we see that there is only 1 red necklace and 1 yellow bracelet, so there is only 1 favorable outcome.
Now, we can calculate the probability of Sammy choosing a red necklace and a yellow bracelet:
Probability = (Number of Favorable Outcomes) / (Total Number of Combinations)
= 1 / 24
To simplify the answer, we can express it in the lowest terms:
Probability = 1 / 24 = 1/ (3 x 8) = 1 / 8
Therefore, the correct answer is D. 1/8.