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At American High School, there is a 25.5% probability a randomlyselected student is an honor roll student, while there is a 37%probability that a randomly selected student is a varsity athlete.The probability that a student is an honor roll student and avarsity athlete is 6%.

Respuesta :

Given,

probability of randomly selected student is an honor roll student,

[tex]\frac{25\cdot5}{100}=0\cdot255[/tex]

probability of randomly selected student is a varsity athlete,

[tex]\frac{37}{100}=0\cdot37[/tex]

The probability of the student is an honor roll student and a

varsity athlete,

[tex]\frac{6}{100}=0\cdot06[/tex]

The probability of multiple events is,

[tex]0.255\times0.37\times0.06=0.005661[/tex]

0.005661

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