Math 30-2

Unit 4: Probability

Lesson 1: Proability Terminology and Notation

I need solutions for these questions please. their will be a answer key after the questions below that my teacher gave it to me. thank you

4. You are making bags of cookies to deliver to friends.

Bag 1 contains an oatmeal cookie (O), a lemon cookie (L) and a snickerdoodle (S)

Bag 2 contains an oatmeal cookie, a snickerdoodle and a almond cookie (A)

Without looking in the packets, a friend takes one cookie from bag 1, then one cookie from

bag 2.

b) List the event "both cookies are the same type" as

a subset of the sample space.

c) List the event " a snickerdoodle is not chosen" as

a subset of the sample space.

d) State the probability of the following events:

i) both cookies are the same

ii) a snickerdoodle is chosen

iii) at least one outmeal cookie is chosen iv) the cookies are different flavours.

e) Explain the relationship between the answers in parts i) and iv).

5. Four nickles are tossed by Carol and five quarters are tossed by Sam. The number of heads

is recorded by each person.

a) Show the sample space as an

array of ordered pairs.

b) On the arry, circle the

outsomes for the event

"Carol recorded more heads

than Sam."

c) State the probability of the

following events:

i) "Carol recorded more

heads than Sam."

ii) "Carol recorded less heads

than Sam."

6. Ella, Sarah and Haley ae) The two events are complementary so (the probability ofre all out for tea. They each toss a coin to see who is going to pay.

If one of them throws a different outcome from the other two, then that person buys

all three teas.

If all of them throw the same outcome, then each person pays for their own tea.

a) Use a tree diagram to construct a sample space

for tossing three coins.

b) State the probabilities of the

following events:

i) Ella buys all three teas.

ii) Each person buys their own tea.

iii) Haley gets a free coffee.

ANSWER KEY

4.b) {OO, SS}, c) {OO, OA, LO, LA}

d) i) 2//9, ii) 4/9, iii) 59, iv) 7/9

e) The two events are complementary so (the probability of iv)) is (1 - probability in i)).

5.c) i) 1/3, ii) 1/2

6.b) i) 1/4, ii) 1/4, iii) 1/2