math models unit 5 test

Events that have no elements in common are _______________.

mutually exclusive

A(n)______________is an arrangement of objects in order, while a(n)__________________is an arrangement of objects without regard to order.

permutation, combination

A __________ is the known outcomes that are all equally likely to occur.

sample space

A coin is flipped 1,000 times. It lands on heads 491 times and tails 509 times. What is the empirical probability of getting tails on this coin?

0.509

A local restaurant offers pizza with a choice of toppings from this list: cheese, sausage, pepperoni, mushrooms, green peppers, hot peppers, ham, pineapple, and anchovies. How many different 4-topping pizzas can be made with these toppings?

126

A spinner has the following outcomes and probabilities. Mean: Variance: Standard deviation:

2.5 1.25 1.118

(9 - 3)! = _____

720

9C3

84

_____________ is the ratio of the number of ways a specific event can occur to the total number of possible outcomes.

Theoretical probability

You have a 5-question, true-false quiz. What is the probability that you choose each answer at random and get 4 of the questions correct?

0.16

What is the probability of getting a heads AND a prime number (2, 3, or 5) with one coin flip and one die roll?

0.25

You have 2 choices of bread: wheat or white; 3 choices of meat: ham, chicken, or beef; and 3 choices of condiments: mustard, mayo, and ketchup. If you choose each item at random, what is the probability that you will make a sandwich with wheat bread, ham, and mustard?

0.06

A(n)_______________ is an event that is influenced by the outcome of another event, while a(n)_____________is not influenced by the outcome of another event.

Dependent, Independent

A __________ is the product of successive decreasing counting numbers down to one.

Factorial