Sammy likes to mix 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.
no table, but
P(red) = #reds / #necklaces
P(yellow) = #yellows / #bracelets
then multiply
To find the probability of Sammy choosing a red necklace and a yellow bracelet, we need to determine the total number of possible outcomes and the number of favorable outcomes.
First, let's determine the total number of possible outcomes. Sammy has 4 necklaces, 2 bracelets, and 3 hats, so the total number of possible outcomes is the product of these three numbers:
Total number of possible outcomes = 4 (necklaces) × 2 (bracelets) × 3 (hats) = 24
Next, let's determine the number of favorable outcomes. Sammy wants to choose a red necklace and a yellow bracelet. According to the table, there is only 1 red necklace and 1 yellow bracelet.
Number of favorable outcomes = 1 (red necklace) × 1 (yellow bracelet) = 1
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes = 1 / 24 = 1/24
Therefore, the probability of Sammy choosing a red necklace and a yellow bracelet is 1/24.