n Ice-cream cafe has 200 customers every day. 60% of them like vanilla flavor and 80% of them like mango flavor. What is the probability, if one of the customers selected randomly and asked which flavor does he/she likes.what is the probability that they like either mango or vanilla
Answers
The probability that a customer likes either mango or vanilla flavor is 12 / 25.
• Given,
Number of per day customers in the cafe = 200
Percentage of customers that likes vanilla = 60 %
Percentage of customers that likes mango = 80 %
• Number of customers having vanilla in a day = 60 % of 200
= ( 60 / 100 ) × 200
= 120 customers
• Number of customers having mango in a day = 80 % of 200
= ( 80 / 100 ) × 200
= 160 customers
• Probability of a customer asking for vanilla flavor (P1) = Total number of customers having vanilla flavor in a day / Total number of customers visiting the cafe in a day
=> P1 = 120 / 200
Or, P1 = 3 / 5
• Probability of a customer asking for mango flavor (P2) = Total number of customers having mango flavor in a day / Total number of customers visiting the cafe in a day
=> P2 = 160 / 200
Or, P1 = 4 / 5
• Therefore, probability of customers asking for either vanilla or mango flavor in a day = (3 / 5) × (4 / 5) = 12 / 25