77/125
Explanation:
Probability of ordering sandwich that is either without cheese or is on sourdough bread = Probability of ordering a sandwich without cheese + probability of ordering a sourdough sandwich - probability of a sourdough sand wich without cheese
Sandwich without cheese = 425 + 700 = 1125
Sandwich with cheese = 800+ 1200 = 2000
Total of sandwich with or without cheese = 1125 + 2000 = 3125
Probability of ordering a sandwich without cheese = 1125/3125
Probability of ordering a sandwich without cheese = 9/25
ordering a sourdough sandwich = 800 + 425 = 1225
probability of ordering a sourdough sandwich = 1225/3125
probability of ordering a sourdough sandwich = 49/125
sourdough sandwich without cheese = 425
probability of a sourdough sandwich without cheese = 425/3125
probability of a sourdough sandwich without cheese = 17/125
Probability of ordering sandwich that is either without cheese or is on sourdough bread:
[tex]\begin{gathered} =\frac{9}{25}+\frac{49}{125}-\frac{17}{125} \\ =\text{ }\frac{5(9)+49-17}{125}=\frac{45+49-17}{125} \\ =\frac{77}{125} \end{gathered}[/tex]
