Question

The below information are collected from Mawelleh Center Souq , use the information
to solve the following questions (Average Daily Sale Amount per kilo gram) :
Food Omani Production External Production TOTAL
Banana 85 120 205
Pineapple 40 75 115
TOTAL 125 195 320
(a) If one food is chosen, what is the probability the food is Omani production or
Pineapple ?
(b) If one food is chosen , what is the probability the food banana giving that it is
External production

The below information are collected from Mawelleh Center Souq , use the information
to solve the following questions (Average Daily Sale Amount per kilo gram) :
Food Omani Production External Production TOTAL
Banana 85 120 205
Pineapple 40 75 115
TOTAL 125 195 320
(a) If one food is chosen, what is the probability the food is Omani production or
Pineapple ?
(b) If one food is chosen , what is the probability the food banana giving that it is
External production ?

Answer 1

Given information

Food	Omani Production	External Production	Total
Banana	85	120	205
Pineapple	40	75	115
Total	125	195	320

Probabilities are calculated by dividing each specific value by Total 320

For example the probability the food is Banana and Omani Production = 85 / 320 = 0.265625

Likewise all the probabilities are calcuated and shown in the below table

Food	Omani Production	External Production	Total
Banana	0.265625	0.375	0.640625
Pineapple	0.125	0.234375	0.359375
Total	0.390625	0.609375	1

Question (a)

If one food is chosen, what is the probability the food is Omani production or Pineapple

Let the event A be that the food chosen is Omani Production

Let the event B be the food chosen in Pineapple

Here we need to find P(A or B) which is P(A B)

P(A B) = P(A) + P(B) - P(A B)

Probability that the food chosen is Omani Production P(A) = 0.390625 (the total of Omani Production column)

Probability that the food chosen is Pineapple P(B) = 0.359375 (the total of Pineapple row)

Probability that the food chosen is Omani production and Pineapple P(A B) = 0.125

P(A B) = P(A) + P(B) - P(A B)

= 0.390625 + 0.359375 - 0.125

= 0.625

If one food is chosen, Probability the food is Omani production or Pineapple = 0.625

Question (b)

If one food is chosen , what is the probability the food is banana giving that it is External production

Let the event A be that the food chosen is Banana

Let the event B be the food chosen is External Production

Here we need to find P(A given B) which is P(A | B)

P(A | B) = P(A B) / P(B)

Probability that the food chosen is Banana and External Production P(A B) = 0.375

Probability that the food chosen is External Production P(B) = 0.609375 (the total of External Production column)

P(A | B) = P(A B) / P(B)

= 0.375 / 0.609375

= 0.615385

If one food is chosen , probability the food is banana giving that it is External production = 0.615385