Name: ______Period: ______

Introductory Statistics – Homework 3.1 A

  1. Determine which of the following numbers could NOT represent the probability of an even. Explain your reasoning.

0, 0.001, -1, 50%, ,

  1. Explain why the following statement is Incorrect.

The probability of rain tomorrow is 150%.

Give the Sample Space for each of the following. (Make a tree diagram if needed)

  1. Guessing the Initial of a student’s middle name.
  1. Spinning a spinner 1 time with the following colors: Red, Blue, Green or Yellow

And Rolling a 6 sided die 1 time.

Give the Sample Space for each of the following. (Make a tree diagram if needed)

  1. Choosing 1 item from each category below.

Main Dish: Chicken or Beef

Side: French Fries, Potato, or Soup

Dessert: Cake or Ice Cream

Determine the number of outcomes in each Event.

  1. There are 200 computers in a lab, each numbered from 1 to 200.

a) Event A is selecting computer #159.

b)Event B is selecting an even numbered computer.

  1. You randomly select 1 card from a standard deck of cards.

a)Event A is selecting a King.

b)Event B is selecting an Ace of Hearts.

  1. An Insurance company is hiring for 2 positions: an Actuary and a Claims Adjuster. How many ways are there to hire these 2 people if 9 people applied for the Actuary position and 15 people applied for the Claims Adjuster?
  1. A menu has 3 choices for salad, 6 main dishes, and 4 desserts. How many different meals are available for you to pick a salad, a main dish, and a dessert?
  1. The access code for a car’s security system consists of 5 digits. How many different access codes can be created if the first digit cannot be zero and the last digit must be odd? The numbers can repeat.
  1. A quiz consists of 6 True/False questions. How many ways can this quiz becompleted?
  1. There are 10 people in a race. How many different ways are there for First, Second, and Third place.
  1. You are planning a 3-day trip to Seattle, Washington, in October.

a)Using the options of weather each day has Rain or Sun, create a tree diagram showing the possible weather combinations of Rain or Sun for the 3 day trip.

b)List the Sample Space from above.

c)List the outcome(s) that had Rain all three days?

d)List the outcome(s) that had Rain on Exactly 1 day?

e)List the outcome(s) that had Rain on at least 1 day.