Question
A spinner has 10 equal-sized sections. To win the game, the pointer must land on a yellow section. Complete the statement.
P(yellow)equalsStartFraction favorable outcomes Over total number of possible outcomes EndFraction
equalsStartFraction question mark Over 10 EndFraction
equals?
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Part 1
P(yellow)equalsStartFraction favorable outcomes Over total number of possible outcomes EndFraction
equalsStartFraction nothing Over 10 EndFraction
equals
enter your response here
(Type integers or simplified fractions.)
P(yellow)equalsStartFraction favorable outcomes Over total number of possible outcomes EndFraction
equalsStartFraction question mark Over 10 EndFraction
equals?
LOADING... Click the icon to view the spinner.
Question content area bottom
Part 1
P(yellow)equalsStartFraction favorable outcomes Over total number of possible outcomes EndFraction
equalsStartFraction nothing Over 10 EndFraction
equals
enter your response here
(Type integers or simplified fractions.)
Answers
GPT-4o mini
To calculate the probability \( P(yellow) \) for the spinner:
1. **Identify the total number of possible outcomes**: Since the spinner has 10 equal-sized sections, the total number of possible outcomes is 10.
2. **Favorable outcomes**: You need to count how many of the sections are yellow. Assuming the spinner has \( x \) yellow sections, the number of favorable outcomes would be \( x \).
Now we can express the probability \( P(yellow) \):
\[
P(yellow) = \frac{\text{favorable outcomes}}{\text{total number of possible outcomes}} = \frac{x}{10}
\]
Without additional information about how many sections are yellow, let’s assume there are \( x \) yellow sections, so the probability is expressed as:
\[
P(yellow) = \frac{x}{10}
\]
If you know how many sections are yellow, you can replace \( x \) with that number. To complete the statement, you would simply fill in \( x \):
- If there are, for instance, 3 yellow sections, then:
\[
P(yellow) = \frac{3}{10}
\]
If you don't have the specific number of yellow sections, the advantageous outcome remains unspecified, and you would fill that in as \( x \):
Thus, to fill in the blank in the expression:
\[
P(yellow) = \frac{x}{10}
\]
For the given statement, if there are no yellow sections, simply use \( 0 \) if the spinner shows no yellow, leading to:
\[
P(yellow) = \frac{0}{10} = 0
\]
Please replace \( x \) with the actual number of yellow sections to find the probability if you know it.
1. **Identify the total number of possible outcomes**: Since the spinner has 10 equal-sized sections, the total number of possible outcomes is 10.
2. **Favorable outcomes**: You need to count how many of the sections are yellow. Assuming the spinner has \( x \) yellow sections, the number of favorable outcomes would be \( x \).
Now we can express the probability \( P(yellow) \):
\[
P(yellow) = \frac{\text{favorable outcomes}}{\text{total number of possible outcomes}} = \frac{x}{10}
\]
Without additional information about how many sections are yellow, let’s assume there are \( x \) yellow sections, so the probability is expressed as:
\[
P(yellow) = \frac{x}{10}
\]
If you know how many sections are yellow, you can replace \( x \) with that number. To complete the statement, you would simply fill in \( x \):
- If there are, for instance, 3 yellow sections, then:
\[
P(yellow) = \frac{3}{10}
\]
If you don't have the specific number of yellow sections, the advantageous outcome remains unspecified, and you would fill that in as \( x \):
Thus, to fill in the blank in the expression:
\[
P(yellow) = \frac{x}{10}
\]
For the given statement, if there are no yellow sections, simply use \( 0 \) if the spinner shows no yellow, leading to:
\[
P(yellow) = \frac{0}{10} = 0
\]
Please replace \( x \) with the actual number of yellow sections to find the probability if you know it.