intro to stats 4.5
Lindsay is checking out books at the library, and she is primarily interested in mysteries and nonfiction. She has narrowed her selections down to six mysteries and twelve nonfiction books. If she randomly chooses four books from her selections, what's the probability that they will all be nonfiction? Enter a fraction or round your answer to 4 decimal places, if necessary.
0.1618
Nadia is picking out some movies to rent, and she is primarily interested in horror films and mysteries. She has narrowed down her selections to 13 horror films and 7 mysteries. How many different combinations of 3 movies can she rent?
1140 20C3
How many ways can a person toss a coin 12 times so that the number of heads is between 7 and 10 inclusive?
1573 12C7*12C8*12C9*12C10
Garcia's Grill offers 8 side dishes, 3 types of steak, and 7 toppings. How many different smothered steak dinners can be made if a smothered steak dinner consists of the customer's choice of steak served with 2 different toppings and 4 different side dishes?
4410 7C2=21 topping combinations 8C4= 70 side combinations 3C1= 3 steak choices
Ali is planning a bridal shower for her best friend. At the party, she wants to serve 4 beverages, 4 appetizers, and 3 desserts, but she does not have time to cook. She can choose from 9 bottled drinks, 9 frozen appetizers, and 14 prepared desserts at the supermarket. How many different ways can Ali pick the food and drinks to serve at the bridal shower?
5778864 9C4*9C4*14C3
Raul wants to buy a new collar for each of his 2 dogs. The collars come in a choice of 9 different colors. How many selections of collars are possible if repetitions of colors are not allowed?
72
If a coin is tossed 3 times, and then a standard six-sided die is rolled 2 times, and finally a group of two cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
748500480 3 coin tosses= 2^3= 8 2 die rolls= 6^2= 36 five card pulls= 52C5= 2598960 8*36*2598960= 748500480
Raul wants to buy a new collar for each of his 2 dogs. The collars come in a choice of 9 different colors. How many selections of collars for the 2 dogs are possible if repetitions of colors are allowed?
81 9*9; 9 choices, 2 dogs
Nadia is picking out some movies to rent, and she is primarily interested in horror films and mysteries. She has narrowed down her selections to 13 horror films and 7 mysteries. How many different combinations of 3 movies can she rent if she wants at least one mystery?
854 7C1 * 13C2 =546 7C2 * 13C1 =273 7C3 * 13C0 =35 546 + 273 + 35 = 854 different combinations
