Question

Column1 Column2 Column3 Column4 Column5 Column6

Choice of Breakfast North South East West Total

Cereals 39 18 20 40 117

Dosa/ idli 20 55 14 12 101

Eggs 22 15 40 15 92

Poha 19 12 26 33 90

Total 100 100 100 100 400

a. What is the probability of a person eating dosa given he is from north?

b. What is the probability of a person from south or eating egg?

c.What is the probability of a person eats poha, given he is from West?

d. .What is the probability of a person who is from West and choice is cereals?

e.What is the probability of a person who is from east and prefers eggs for breakfast?

Answer 1

a. Since out of 100 servings eaten, people from the north consume 20 servings of dosa, the probability of a person from the north ordering dosa is $NorthDosa/NorthTotal = 0.2 = 20$%

b. Since out of 100 servings eaten, people from the south consume 20 servings of eggs, the probability of a person from the south ordering eggs is $SouthEggs/SouthTotal = 0.15 = 15$%

c. Since out of 100 servings eaten, people from the west consume 20 servings of poha, the probability of a person from the west ordering poha is $WestPoha/WestTotal = 0.33 = 33$%

d. Since out of 100 servings eaten, people from the west consume 20 servings of cereals, the probability of a person from the west ordering cereals is $WestCereals/WestTotal = 0.4 = 40$%

e. Since out of 100 servings eaten, people from the east consume 20 servings of eggs, the probability of a person from the east ordering eggs is $EastEggs/EastTotal = 0.26 = 26$%