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 2 Over 10 EndFraction
  
equals
  
5
​(Type integers or simplified​ fractions.)

Answer 1

To calculate the probability of landing on a yellow section of the spinner, we can use the formula:

\[ P(yellow) = \frac{\text{favorable outcomes}}{\text{total number of possible outcomes}} \]

From the problem, we know:

- Total number of possible outcomes (the total sections on the spinner) = 10
- Favorable outcomes (the number of yellow sections) = 2

Now we can substitute these values into the formula:

\[ P(yellow) = \frac{2}{10} \]

To simplify this fraction:

\[ \frac{2}{10} = \frac{1}{5} \]

So the final statement is:

\[ P(yellow) = \frac{2}{10} = \frac{1}{5} \]

Thus, the probability of spinning and landing on a yellow section is \(\frac{1}{5}\).