Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer lands on any letter in the phrase "County Fair," the contestant wins a prize. What is the probability that Luca will win Wheel of Letters? Your answer must be simplified

The probability that Luca will win Wheel of Letters is [tex]\frac{5}{13}[/tex] given there are 26 equal sections lettered A to Z and the contestant win if the pointer lands on any letter in the phrase "COUNTY FAIR". This is obtained by using probability concept.

What is probability ?

Probability of an event to occur is the ratio number of favourable outcomes to total number of outcomes.

For example, probability of getting head while tossing a coin is 1/2. ⇒P(getting head)=1/2

Find the probability that Luca will win:

Given total number of outcomes are 26

Since "COUNTY FAIR" has 10 letters, number of favourable outcomes are 10.

According to definition of probability we get ,

P(winning) =[tex]\frac{10}{26}[/tex] =[tex]\frac{5}{13}[/tex]

Hence the probability that Luca will win Wheel of Letters is [tex]\frac{5}{13}[/tex] given there are 26 equal sections lettered A to Z and the contestant win if the pointer lands on any letter in the phrase "COUNTY FAIR".

Learn more about probability here:

brainly.com/question/45821231

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