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A spinner has 4 ​equal-sized sections. To win the​ game, the pointer must land on a purple section. Complete the statement.

​P(purple​)equalsStartFraction favorable outcomes Over total number of possible outcomes EndFraction
equalsStartFraction question mark Over 4 EndFraction
equals​?
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Part 1
​P(purple​)equalsStartFraction favorable outcomes Over total number of possible outcomes EndFraction
equalsStartFraction nothing Over 4 EndFraction
  
equals
  
enter your response here
​(Type integers or simplified​ fractions.)

1 answer

To calculate the probability \( P(purple) \), you need to find the number of favorable outcomes (the number of purple sections on the spinner) and divide that by the total number of possible outcomes (the total number of sections on the spinner).

Given:

  • Total sections on the spinner = 4
  • Let's assume there is 1 purple section.

So, the number of favorable outcomes (purple sections) = 1.

Now we can write the equation:

\[ P(purple) = \frac{\text{favorable outcomes}}{\text{total number of possible outcomes}} = \frac{1}{4} \]

Thus, the statement can be completed as follows:

\[ P(purple) = \frac{1}{4} \]

So the response to enter is:

\[ \frac{1}{4} \]