Question

This is beyond frustrating for me. I can't figure out two way tables. can someone help me? or TRY to explain? I just don't get it. I'm stuck. ​

Answer 1

P(Music/Drama)= [0.25]

Explanation:

Given:

From the Table given we can calculate Total Number of Students.

`\therefore \textrm{Total Number of Student} = \textrm{Total Number of Student in Sophomore grade} +\textrm{Total Number of student in Juniour grade}+\textrm {Total of Student in Senior grade}\\\textrm {Total Number of Student}= 30+35+35 =100`

From the Table given we can calculate Total Number of Students in Music\Drama

`\therefore \textrm{Total Number of Student in Music/Drama} = \textrm{Total Number of Student in Sophomore grade} +\textrm{Total Number of student in Juniour grade}+\textrm {Total of Student in Senior grade}\\\textrm {Total Number of Student in Music/Drama}= 7+13+5 =25`

Now by the formula of Probability.

`P(E) =\frac{\textrm{Number of possible outcomes}}{\textrm{Total Numbber of Outcomes}}`

Probability for Music/Drama

`P(Music/Drama) =\frac{\textrm{Total Number of Student in Music/Drama}}{\textrm{Total Number of Students}}`

`\therefore P(Music/Drama)=(25)/(100) =0.25`