Name: __________________
Knowledge/Understanding
/41
Application
/37
Communication
/14
Thinking/Inquiry
/23
Communication <50%
Level 1
(50-60%)
Level 2
(60-70%)
Level 3
(70-80%)
Level 4
(80-100%) use of mathematical language, symbols, visuals, and conventions
Never uses mathematical language, symbols, visuals, and conventions correctly infrequently uses mathematical language, symbols, visuals, and conventions correctly uses mathematical language, symbols, visuals, and conventions correctly some of the time uses mathematical language, symbols, visuals, and conventions correctly most of the time routinely uses mathematical language, symbols, visuals, and conventions correctly and efficiently
Knowledge
1. What is the probability of dealing a face card from a well-shuffled deck of cards and rolling a sum of 7 with two dice? [3 Marks]
2. Research show that 90% of the workers in an office building have a driver’s license and 40% of the workers own a home. Assuming that these two characteristics are independent of each other, what is
[4 Marks] the probability that a randomly selected worker a) has both a driver’s license and owns a home? b) has a driver’s license but doesn’t own a home?
1

Name: __________________
2. On any given day, there is a 30% chance that Jenny will wear jeans. If she wears jeans, there is a 60% chance that she will wear a T-shirt as well. a) Determine the probability that Jenny wears jeans and a T-Shirt on any given day. [4 Marks] b) Determine the probability that Jenny wears jeans but not a T-shirt on a given day. [4 Marks]
3. A cloth bag contains nine red balls and six white balls. What is the probability that you will randomly select [6 Marks] a) two red balls in a row, with replacement? b) two red balls in a row, without replacement?
4. Using a weighted coin where tossing heads is three as likely as tails. What is the probability of tossing at least three heads when five coins are tossed? [4 Marks]
2

Name: __________________
5. Each of the letters for the word MISSISSIPPI is printed on a same-sized piece of paper and placed in a hat. The hat is shaken and one piece of paper is drawn.
(a) What is the probability that the letter S is selected?
[4 Marks]
(b) What is the probability that the letter P is selected?
6. As a means of getting some exercise, you choose from going for a run, riding your bike, or going to the local pool for a swim. Your previous behaviour shows that when your bike 30% of the time and go for a swim 15% of the time. What is the probability that the next time you exercise you will go for a run?
[4 Marks]
7. Given that
P ( A

B )

0 .
4 , P ( A

C )

0 .
2 , P ( B | A )

0 .
6 , andP ( B )

0 .
5
. Solve for the following.
(a) P(A|B)
(c) P(A)
(b) P(B’)
(d) P(C|A)
[8 Marks]
3

Name: __________________
Communication
1. Dr. Tom has found that 25% of his patients eyes problems, 10% have hearing problems, and 5% have both. Are the events “have eyes problems” and “have hearing problems” independent? Justify your decision. [5 Marks]
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
2. Decide whether the following scenarios represent binomial or hypergeometric distributions:
(a) Winning three out of five in a match of rock, paper, scissors
_________________________________________________________________
_________________________________________________________________
[2 Marks]
(b) The probability of six people being chosen to represent a small community of 300 residents[2 Marks]
_________________________________________________________________
_________________________________________________________________
Application
1. Suppose that the cookie jar now contains 13 chocolate chip cookies, seven peanut butter cookies, and five oatmeal cookies. How many chocolate chip cookies would you expect to get if you randomly selected six cookies without replacing? [5 Marks]
4

Name: __________________
2. A weighted coin is tossed three times. The likelihood of tossing a head is three times that of tossing a tail. Construct a probability distribution diagram and frequency graph that illustrates the outcomes of tossing heads. Diagram [22 Marks], Graph [10 Marks]
5

Name: __________________
Thinking/Inquiry
1. A picnic cooler contains different types of cola: 12 regular, 8 cherry, 6 diet, 8 caffeine-free, 10 diet vanilla, and some diet cherry. You pick a can of cola without looking at its type. There is 44% chance that the drink selected is diet. How many diet cherry colas are in the cooler? (Hint let c represent the diet cherry cola, remember that 44% can be written as a fraction. Write down what you know, and what equations you know.) [8 Marks]
2. A Samantha is a baseball player, and she has a batting average of 0.280
(a) Find the probability that at least 3 hits in her next 5 times at bat.
(b) What is Samantha’s expected number of hits in her next 10 times at bat?
[12 marks]
[3 Marks]
6