Question

A class 39 student 29 or duo enrollment in 19 are not dual enrollment supposed to student or rent may select the trumpet class without placement calculate the following probability

Answer 1

Total possible students is 39

The formula for probability is given below as,

Probability of "Dual-enrolled" is given below as,

`P(\text{Dual enrolled)=}(20)/(39)`

Probability of "Not Dual-enrolled" is given below as,

`P(\text{Not Dual-enrolled)=}(19)/(39)`

Probability that both students are dual enrolled if selected without replacement will be,

`P(\text{Both are Dual-enrolled)=}(20)/(39)*(19)/(38)=(10)/(39)`

Probability that 1st is Dual-enrolled and the second is Not dual-enrolled if selected without replacement will be,

`P(1st\text{ student is Dual-enrolled and 2nd is Not)}=(20)/(39)*(19)/(38)=(10)/(39)`

Hence, P(Both are Dual-enrolled) = 10/39

P(1st Dual-enrolled and 2nd Not dual-enrolled) = 10/39