math please help!!!!!!

Question

 

12) A restaurant offers 9 different appetizers on their menu. including chicken tenders. how many different combinations of 3 appetizers can you choose from?

 

 

13) Suppose you are eating at the restaurant in Exercise 12 and your table randomly orders 3 different appetizers to share. What is the probability that your table will order chicken tenders

 

 

 

Mary-Beth's Social Studies teacher wrote the names of all 50 states on individual pieces of paper and mixed them up in a hat. Each student in the class will choose two pieces of paper from the hat, one at a time replacing the pieces of paper each time. What is the probability that Mary-Beth will first choose New Jersey, and then choose Massachusetts?

Answer 1

12)  10 c 3 equals 120

 

13)  probability of getting tenders is 1- probability of getting no tenders.  Since there are 9 appetizers that aren't tenets toy can choose 9 c 3 = 84 appetizer combos that won't have tenders.   The probability of not getting tenders is thenot 84/120 = .7  the probability of getting tenders is them 1 - .7 = .3

 

 

The probability of getting NJ first is 1/50  the probability of getting MA second is 1/50.  The probability of getting NJ the MA is 1/50 * 1/50 = 1/2500 = .0004 or .04%