Question

To study success, Kushel questioned 1200 people, among whom were lawyers, artists, teachers, and students. He found that 15% enjoy neither their jobs nor their personal lives, 80% enjoy their jobs but not their personal lives, and 4% enjoy both their jobs and their personal lives. Determine the percentage of the 1200 people interviewed who enjoy

a) either their jobs or their personal lives.

b) their jobs.

c) their personal lives but not their jobs.

d) their personal lives.

Answer 1

Here, we are given that:

P( neither jobs nor personal life ) = 0.15
P( jobs only ) = 0.8
P( both ) = 0.04
Therefore, P( personal life only ) = 1 - 0.15 - 0.8 - 0.04 = 0.01

a) P( either job or personal life ) = 1 - P( neither jobs nor personal life ) = 1 - 0.15 = 0.85

therefore 85% is the required percentage here.

b) P( jobs ) = P( jobs only ) + P( both ) = 0.8 + 0.04 = 0.84

therefore 84% is the required percentage here.

c) P( personal life only ) =  1 - 0.15 - 0.8 - 0.04 = 0.01

therefore 1% is the required percentage here.

d) P( personal life ) =  P( personal life only ) + P( both ) = 0.01 + 0.04 = 0.05

therefore 5% is the required percentage here.