QuestionWhat is the probability that both of two randomly selected people own dogs if $53\%$ of people have dogs? Provide as a decimal or fraction.

Studdy Solution

STEP 1

Assumptions1. The percentage of people who own dogs is53% . The selection of two people is independent, meaning the choice of the first person does not affect the choice of the second person.

STEP 2

First, we need to convert the percentage of people who own dogs into a decimal or fraction. This can be done by dividing the percentage by100.
$Probability\, of\, owning\, a\, dog = \frac{Percentage\, of\, people\, who\, own\, dogs}{100}$

STEP 3

Now, plug in the given value for the percentage of people who own dogs to calculate the probability.
$Probability\, of\, owning\, a\, dog = \frac{53}{100}$

STEP 4

Calculate the probability of owning a dog.
$Probability\, of\, owning\, a\, dog =0.53$

STEP 5

Now that we have the probability that a person owns a dog, we can find the probability that two people both own a dog. Since the selection of two people is independent, we can multiply the probabilities together.
$Probability\, of\, both\, owning\, a\, dog = Probability\, of\, owning\, a\, dog \\times Probability\, of\, owning\, a\, dog$

STEP 6

Plug in the value for the probability of owning a dog to calculate the probability that both people own a dog.
$Probability\, of\, both\, owning\, a\, dog =0.53 \\times0.53$

STEP 7

Calculate the probability that both people own a dog.
$Probability\, of\, both\, owning\, a\, dog =0.53 \\times0.53 =0.2809$ The probability that both people own a dog is0.2809 or28.09%.

Was this helpful?

QuestionWhat is the probability that both of two randomly selected people own dogs if $53\%$ of people have dogs? Provide as a decimal or fraction.

Studdy Solution

STEP 1

Assumptions1. The percentage of people who own dogs is53% . The selection of two people is independent, meaning the choice of the first person does not affect the choice of the second person.

STEP 2

First, we need to convert the percentage of people who own dogs into a decimal or fraction. This can be done by dividing the percentage by100.
$Probability\, of\, owning\, a\, dog = \frac{Percentage\, of\, people\, who\, own\, dogs}{100}$

STEP 3

Now, plug in the given value for the percentage of people who own dogs to calculate the probability.
$Probability\, of\, owning\, a\, dog = \frac{53}{100}$

STEP 4

Calculate the probability of owning a dog.
$Probability\, of\, owning\, a\, dog =0.53$

STEP 5

STEP 6

Plug in the value for the probability of owning a dog to calculate the probability that both people own a dog.
$Probability\, of\, both\, owning\, a\, dog =0.53 \\times0.53$

STEP 7

Calculate the probability that both people own a dog.
$Probability\, of\, both\, owning\, a\, dog =0.53 \\times0.53 =0.2809$ The probability that both people own a dog is0.2809 or28.09%.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionWhat is the probability that both of two randomly selected people own dogs if 53%53\%53% of people have dogs? Provide as a decimal or fraction.

Studdy Solution

STEP 1

Assumptions1. The percentage of people who own dogs is53% . The selection of two people is independent, meaning the choice of the first person does not affect the choice of the second person.

STEP 2

STEP 3

Now, plug in the given value for the percentage of people who own dogs to calculate the probability.Probability of owning a dog=53100Probability\, of\, owning\, a\, dog = \frac{53}{100}Probabilityofowningadog=10053​

STEP 4

Calculate the probability of owning a dog.Probability of owning a dog=0.53Probability\, of\, owning\, a\, dog =0.53Probabilityofowningadog=0.53

STEP 5

STEP 6

Plug in the value for the probability of owning a dog to calculate the probability that both people own a dog.Probability of both owning a dog=0.53times0.53Probability\, of\, both\, owning\, a\, dog =0.53 \\times0.53Probabilityofbothowningadog=0.53times0.53

STEP 7

Calculate the probability that both people own a dog.Probability of both owning a dog=0.53times0.53=0.2809Probability\, of\, both\, owning\, a\, dog =0.53 \\times0.53 =0.2809Probabilityofbothowningadog=0.53times0.53=0.2809The probability that both people own a dog is0.2809 or28.09%.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionWhat is the probability that both of two randomly selected people own dogs if $53\%$ of people have dogs? Provide as a decimal or fraction.

Now, plug in the given value for the percentage of people who own dogs to calculate the probability.
$Probability\, of\, owning\, a\, dog = \frac{53}{100}$

Calculate the probability of owning a dog.
$Probability\, of\, owning\, a\, dog =0.53$

Plug in the value for the probability of owning a dog to calculate the probability that both people own a dog.
$Probability\, of\, both\, owning\, a\, dog =0.53 \\times0.53$

Calculate the probability that both people own a dog.
$Probability\, of\, both\, owning\, a\, dog =0.53 \\times0.53 =0.2809$ The probability that both people own a dog is0.2809 or28.09%.