A square dartboard has sections numbered from 1 to 12 as shown below. Players have to make a prediction and throw a dart. They win if their dart lands on the section that matches their prediction.

Arya says, "My dart will land on a composite number."

Bashir says, "My dart will land on an even number."

Cathy says, "My dart will land on a factor of 12.“

Calculate the probability of each of their predictions occurring and determine who has the highest chances of winning.

Show your work

 

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Transcript

A square dartboard has sections numbered from 1 to 12 as shown below. Players have to make a prediction and throw a dart. They win if their dart lands on the section that matches their prediction. Arya says, "My dart will land on a composite number." Bashir says, "My dart will land on an even number." Cathy says, "My dart will land on a factor of 12.“ Calculate the probability of each of their predictions occurring and determine who has the highest chances of winning. Show your work

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.