imhimanshu wrote:

Hi,

Can anyone walk me through with this IR? Can this be solved through Double Matrix Set.

Your help will be appreciated by Kudos.

Data obtained from the diagram:

Total students = 300

No of students of age 30 yrs or more = 110 + 50 = 160 (11 symbols in left circle + 5 in common area of the two circles)

No of students with no high school diploma = 40 + 50 = 90 (4 symbols in right circle + 5 in common area of the two circles)

No of students of age 30 yrs or more and no diploma = 50 (Common region of the two circles)

No of students of age 30 yrs or more with diploma = 110 (11 symbols in left circle)

No of students with no diploma but less than 30 yrs = 40 (4 symbols in right circle)

No of students less than 30 yrs = 300 - 160 = 140

No of students with a diploma = 300 - 90 = 210

No of students under 30 and with diploma = 100 (10 symbols outside the circles)

1.

No of students under 30 or with diploma = 140 + 210 - 100 = 250

Required probability = 250/300 = 5/6

2.

No of students under 30 and with diploma = 100

Required Probability = 100/300 = 1/3

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