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Part 1
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 1 Over 4 EndFraction
  
equals
  
40
​(Type integers or simplified​ fractions.)

1 answer

To find the probability \( P(purple) \), we need to identify the number of favorable outcomes (landing on a purple section) and the total number of possible outcomes (all sections on the spinner).

Given that the spinner has 4 equal-sized sections and you typically would have 1 of these sections be purple, we can conclude:

  • Favorable outcomes (Landing on purple): 1 (assuming there is 1 purple section)
  • Total outcomes (Total sections): 4

Now we can write the probability:

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

Thus, the completed statement will be:

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

Therefore, the answer is:

\[ \text{equals} , \frac{1}{4} \]