Math / Numbers & Operations

QuestionWrite your answers as fractions in simplest form.
1. What is the probability of guessing the correct answer to a multiple-choice question if there are 5 choices?

Studdy Solution

STEP 1

1. There is only one correct answer to the multiple-choice question.
2. There are 5 possible choices for the answer.
3. Each choice is equally likely to be selected.

STEP 2

1. Define the probability formula.
2. Calculate the probability.
3. Simplify the fraction.

STEP 3

The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes.

STEP 4

Identify the number of favorable outcomes and the total number of possible outcomes.
- Number of favorable outcomes (correct answers): $1$ - Total number of possible outcomes (choices): $5$

STEP 5

Write the probability as a fraction:
$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{5}$

STEP 6

Check if the fraction $\frac{1}{5}$ is in its simplest form.
- Since $1$ and $5$ have no common factors other than $1$ , $\frac{1}{5}$ is already in simplest form.
The probability of guessing the correct answer is:
$\boxed{\frac{1}{5}}$

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QuestionWrite your answers as fractions in simplest form.
1. What is the probability of guessing the correct answer to a multiple-choice question if there are 5 choices?

Studdy Solution

STEP 1

1. There is only one correct answer to the multiple-choice question.
2. There are 5 possible choices for the answer.
3. Each choice is equally likely to be selected.

STEP 2

1. Define the probability formula.
2. Calculate the probability.
3. Simplify the fraction.

STEP 3

The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes.

STEP 4

Identify the number of favorable outcomes and the total number of possible outcomes.
- Number of favorable outcomes (correct answers): $1$ - Total number of possible outcomes (choices): $5$

STEP 5

Write the probability as a fraction:
$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{5}$

STEP 6

Check if the fraction $\frac{1}{5}$ is in its simplest form.
- Since $1$ and $5$ have no common factors other than $1$ , $\frac{1}{5}$ is already in simplest form.
The probability of guessing the correct answer is:
$\boxed{\frac{1}{5}}$

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QuestionWrite your answers as fractions in simplest form.1. What is the probability of guessing the correct answer to a multiple-choice question if there are 5 choices?

Studdy Solution

STEP 1

1. There is only one correct answer to the multiple-choice question.2. There are 5 possible choices for the answer.3. Each choice is equally likely to be selected.

STEP 2

1. Define the probability formula.2. Calculate the probability.3. Simplify the fraction.

STEP 3

The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes.

STEP 4

Identify the number of favorable outcomes and the total number of possible outcomes.- Number of favorable outcomes (correct answers): 1 1 1 - Total number of possible outcomes (choices): 5 5 5

STEP 5

STEP 6

Check if the fraction 15\frac{1}{5}51​ is in its simplest form.- Since 111 and 555 have no common factors other than 111, 15\frac{1}{5}51​ is already in simplest form. The probability of guessing the correct answer is:15\boxed{\frac{1}{5}}51​​

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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.

QuestionWrite your answers as fractions in simplest form.
1. What is the probability of guessing the correct answer to a multiple-choice question if there are 5 choices?

1. There is only one correct answer to the multiple-choice question.
2. There are 5 possible choices for the answer.
3. Each choice is equally likely to be selected.

1. Define the probability formula.
2. Calculate the probability.
3. Simplify the fraction.

Identify the number of favorable outcomes and the total number of possible outcomes.
- Number of favorable outcomes (correct answers): $1$ - Total number of possible outcomes (choices): $5$

Check if the fraction $\frac{1}{5}$ is in its simplest form.
- Since $1$ and $5$ have no common factors other than $1$ , $\frac{1}{5}$ is already in simplest form.
The probability of guessing the correct answer is:
$\boxed{\frac{1}{5}}$