Answer:
a) Probability of picking Two MAGA buttons without replacement = 0.15
b) Probability of picking a MAGA and GND button in that order = 0.0833
Probability of picking a MAGA and GND button in with the order unimportant = 0.167
Step-by-step explanation:
10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.
Total number of buttons = 10 + 5 + 10 = 25
Let probability of picking a MAGA button be P(M) = 10/25 = 0.4
Probability of picking a GND button be P(G) = 5/25 = 0.2
Probability of picking a NAW button be P(N) = 10/25 = 0.4
a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15
b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833
Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167
Answer:
128 servings can be made using 1 gallon of milk.
Step-by-step explanation:
Given that:
cups of milk make 10 servings
can also be written as 1.25
Ratio of cups of milk to servings = 1.25 : 10
1 gallon = 16 cups
Let,
x be the number of servings made from 1 gallon
Ratio of cups of milk to servings = 16 : x
This is a direct proportion
1.25 : 10 :: 16 : x
Product of mean = Product of extreme
10*16 = 1.25x
160 = 1.25x
1.25x=160
Dividing both sides by 1.25

Hence,
128 servings can be made using 1 gallon of milk.
504+640=1144 hope this helps!