Question

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%.

Answer 1

Given,

probability of randomly selected student is an honor roll student,

`(25\cdot5)/(100)=0\cdot255`

probability of randomly selected student is a varsity athlete,

`(37)/(100)=0\cdot37`

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

varsity athlete,

`(6)/(100)=0\cdot06`

The probability of multiple events is,

`0.255*0.37*0.06=0.005661`

0.005661