Draw a probability line with a scale in decimals between 0 and 1. Place each of the following
events by its letter in a reasonable place on the line.
a. A person selected at random has a birthday in the summer (June, July, or August)
b. A person selected at random has a birthday today
c. A person selected at random does NOT have a summer birthday.
2. A hospital fundraising lottery claims that 1 in 7 people will win a prize. Show this probability
statement as a fraction, and percent (to two decimal places)
3. A dark cloth bag contains the following marbles: 10 red, 5 blue, 3 green. When you select
one marble without looking...
a. What is the theoretical probability of getting a blue marble? Express your answer as a
decimal value to three places.
b. What is the theoretical probability that the marble is NOT green? Express your answer
as a fraction in lowest terms.
4. A special board game comes with a die that has 8 faces, numbered 1
through 8. (This is called an octahedron). Your friend rolls a “3”. What is
the theoretical probability that you will roll a number greater than 3?
Express your answer as a percent, to one decimal place.
5. Joey has a pair of four-sided dice (tetrahedrons). Complete the chart below to show all the
sums possible when this pair of dice are rolled together.
Use this chart to determine the theoretical probability of rolling the sum of 6. Express your
answer as a decimal to three places.
6. Suppose you are going to spin each of these spinners once. Create a tree diagram to show all
the possible outcomes of one spin after the other. Use the tree diagram to determine the
theoretical probability of getting AT LEAST ONE blue. Express your answer as a fraction in
lowest terms.
7. The four graphs given below show the experimental and theoretical probabilities (in percent)
for a situation where a marble is selected from a bag of marbles and the colour is noted, over
an increasing number of trials. One of these graphs is correct and three are wrong. Which
graph is most likely to be correct. Give a reason for your choice.
8. Tell me one more thing that you know about probability and that you thought might be on this
assignment, but wasn’t.
We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.
Also, cannot draw on these posts.
However, I will give you a start.
3a P(B) = 5/18 = ?
3b P(not G) = 15/18 = ?