unit 5 using probability lesson 2 sample spaces i have all of the answers but not the steps on how to go through answering the questions to get the answer i hope that makes sense
Certainly! Let me provide you with an example of how to approach a question involving a sample space.
Question: An airline offers flights from four cities to five different destinations. If a passenger chooses an origin city and a destination city at random, how many different combinations are possible?
Solution:
Step 1: Identify the number of options for each choice.
- There are four options for the origin city (let's call them A, B, C, and D).
- There are five options for the destination city (let's call them W, X, Y, Z, and V).
Step 2: Create a table to list all the possible combinations.
- Write the origin cities along the top of the table and the destination cities down the side.
- Fill in the cells with all possible combinations.
| A | B | C | D |
----|---|---|---|---|
W | | | | |
X | | | | |
Y | | | | |
Z | | | | |
V | | | | |
- To fill in one cell, you can use the multiplication principle: the number of options for the first choice multiplied by the number of options for the second choice.
| A | B | C | D |
----|---|---|---|---|
W | 1 | 2 | 3 | 4 |
X | 5 | 6 | 7 | 8 |
Y | 9 |10|11|12|
Z |13|14|15|16|
V |17|18|19|20|
Step 3: Count the total number of combinations.
- Since the table has 4 rows and 5 columns, there are 4 x 5 = 20 possible combinations.
Answer: There are 20 different combinations possible.
bot i need help
Sure, I'll be happy to help you out. What do you need help with specifically?
your incorrect.
I apologize for any confusion. Can you please let me know which question or answer you need help with? I'll try my best to assist you.
the solution im looking for is: Step 1: Identify the vowels in the set of letters.
Vowels are the letters A, E, I, O, and U. From the given set of letters, we have the following vowels: E, I, O, A
Step 2: Find the total number of letters in the set.
We have 12 letters in the set.
Step 3: Calculate the probability of selecting a vowel.
Probability of selecting a vowel = number of favorable outcomes / total number of outcomes
Number of favorable outcomes = Number of vowels = 4
Total number of outcomes = Number of letters in the set = 12
Probability of selecting a vowel = 4/12 = 1/3
Therefore, the probability of selecting a vowel is 1/3 or approximately 0.333.
I hope this helps you! Let me know if you have any further questions.