Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To determine the probability that a randomly chosen customer purchased french fries and a deli sandwich, let's follow a systematic approach to solve the problem.
### Step 1: Identify the Event
The event in question is "purchasing french fries and a deli sandwich."
From the table, the number of customers who purchased french fries along with a deli sandwich is 37.
### Step 2: Calculate the Total Number of Purchases
We need to find the total number of all purchases recorded.
1. Total French Fries Purchases:
- Hamburger with French Fries: 83
- Pizza with French Fries: 67
- Deli Sandwich with French Fries: 37
- Total French Fries: [tex]\( 83 + 67 + 37 = 187 \)[/tex]
2. Total Peanuts Purchases:
- Hamburger with Peanuts: 2
- Pizza with Peanuts: 5
- Deli Sandwich with Peanuts: 14
- Total Peanuts: [tex]\( 2 + 5 + 14 = 21 \)[/tex]
3. Total Popcorn Purchases:
- Hamburger with Popcorn: 19
- Pizza with Popcorn: 29
- Deli Sandwich with Popcorn: 3
- Total Popcorn: [tex]\( 19 + 29 + 3 = 51 \)[/tex]
4. Total Purchases:
Sum of all purchases:
[tex]\[ 187 \text{ (French Fries)} + 21 \text{ (Peanuts)} + 51 \text{ (Popcorn)} = 259 \][/tex]
### Step 3: Calculate the Probability
The probability of choosing a customer who purchased french fries and a deli sandwich is the ratio of the number of customers who made that purchase to the total number of purchases.
[tex]\[ P(\text{French Fries and Deli Sandwich}) = \frac{\text{Number of French Fries and Deli Sandwich Purchases}}{\text{Total Purchases}} = \frac{37}{259} \][/tex]
To give the answer in simplest form, the fraction [tex]\(\frac{37}{259}\)[/tex] does not reduce any further as 37 is a prime number and does not divide 259 exactly.
Thus, the probability is:
[tex]\[ P(\text{French Fries and Deli Sandwich}) = \frac{1}{7} \][/tex]
Therefore, the final answer is:
[tex]\[ P(\text{French Fries and Deli Sandwich}) = \frac{1}{7} \][/tex]
### Step 1: Identify the Event
The event in question is "purchasing french fries and a deli sandwich."
From the table, the number of customers who purchased french fries along with a deli sandwich is 37.
### Step 2: Calculate the Total Number of Purchases
We need to find the total number of all purchases recorded.
1. Total French Fries Purchases:
- Hamburger with French Fries: 83
- Pizza with French Fries: 67
- Deli Sandwich with French Fries: 37
- Total French Fries: [tex]\( 83 + 67 + 37 = 187 \)[/tex]
2. Total Peanuts Purchases:
- Hamburger with Peanuts: 2
- Pizza with Peanuts: 5
- Deli Sandwich with Peanuts: 14
- Total Peanuts: [tex]\( 2 + 5 + 14 = 21 \)[/tex]
3. Total Popcorn Purchases:
- Hamburger with Popcorn: 19
- Pizza with Popcorn: 29
- Deli Sandwich with Popcorn: 3
- Total Popcorn: [tex]\( 19 + 29 + 3 = 51 \)[/tex]
4. Total Purchases:
Sum of all purchases:
[tex]\[ 187 \text{ (French Fries)} + 21 \text{ (Peanuts)} + 51 \text{ (Popcorn)} = 259 \][/tex]
### Step 3: Calculate the Probability
The probability of choosing a customer who purchased french fries and a deli sandwich is the ratio of the number of customers who made that purchase to the total number of purchases.
[tex]\[ P(\text{French Fries and Deli Sandwich}) = \frac{\text{Number of French Fries and Deli Sandwich Purchases}}{\text{Total Purchases}} = \frac{37}{259} \][/tex]
To give the answer in simplest form, the fraction [tex]\(\frac{37}{259}\)[/tex] does not reduce any further as 37 is a prime number and does not divide 259 exactly.
Thus, the probability is:
[tex]\[ P(\text{French Fries and Deli Sandwich}) = \frac{1}{7} \][/tex]
Therefore, the final answer is:
[tex]\[ P(\text{French Fries and Deli Sandwich}) = \frac{1}{7} \][/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.