Answer:
25%
Step-by-step explanation:
60% of couples ordered dessert and coffee
20% of the couples ordered dessert but not coffee.
Let x be the total number of couples that ordered dessert.
Let y be the total number of couples that did not order dessert.
Couple that ordered dessert but not coffee = 20% * x
= 0.2x
60 + 0.2x = x
60 = x - 0.2x
60 = 0.8x
x = 60/0.8
x = 75
Total no of couples that ordered dessert and didn't order dessert = 100
x + y = 100
75 + y = 100
y = 100 - 75
y = 25%
the probability that the next couple the waiter seats will not order dessert = 25%
Answer: P' = 0.25 or 25%
Therefore, the probability that the next couple would not order dessert is 25%
Step-by-step explanation:
Given;
Percentage of those that order dessert and coffee = 60%
Percentage of those that order dessert = x ( let x represent percentage of those that orders dessert)
Percentage of those that order dessert and not coffee = 20% of x = 0.2x
The total percentage x of those tgat order dessert is
x = 60% + 20 % of x
x = 0.6 + 0.2x
x - 0.2x= 0.6
x = 0.6/0.8
x = 0.75
The total fraction of those that orde dessert is x = 0.75
The probability that the next couple would not order dessert P' is given as
P' = f'
Where f' is the fraction of those that don't order dessert.
f' = 1 - x = 1 - 0.75 = 0.25
P' = 0.25 or 25%
Therefore, the probability that the next couple would not order dessert is 25%
