Tutor Groups-5

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1.
There are 6 green, 3 white, 4 red, 2 blue and 5
yellow paperclips in a jar. You randomly choose one
paperclip from the jar. Find the probability of the event.
a.
Choosing a green paper clip
b.
Choosing a yellow paper clip
c.
Not choosing a yellow paper clip
d.
Choosing a purple paper clip
1.
Nicholas and Mario want to pick two things to do
on their day off. Nicolas is very organized so she made
a table of possible choices.
Dinner (per person)
Activity(per person)
Fast food - $8
Football Game - $50
Casual Dining - $18
Movies - $10
Buffet - $12
Bowling - $8
Paintball - $30
If they pick one event from each category (Dinner and
Activity, what are the odds (probability) that they will
spend under $25 each?
2.
A person has one numbered cube and one
standard deck of 52 playing cards. How many different
outcomes are possible for picking a card and rolling a
numbered cube?
2.
Maria is rolling a six-sided number cube. Maria
rolls the number cube twice. What is the probability
that Maria gets the number five then the number
three?
1.
Ms. Robinson wants to design a spinner with four
regions. The spinner’s regions will represent prizes of a
skip homework pass, extra credit points, candy or an
ACA card. Draw a spinner with these four regions
where the probability of landing on the candy is ¾, the
probability of an ACA card is 1/8, and the skip
homework pass is close to zero. Explain how your
spinner meets the criteria.
2.
Jeep was having a problem with defective
headlights on the Wrangler. They found that there was
a .022 probability of the Jeeps having a defective
headlight within the first year.
a.
Based on the probability shown above, it is likely,
unlikely, or neither likely nor unlikely that a car will
have a defective headlight within the first year?
b.
Jeep sold 23,401 Wranglers. Approximately how
many Wranglers should the manufacturer expect to
have a defective headlight?
1.
Savannah is designing a board game where a
spinner determines how many spaces a player moves
each turn. Draw a spinner that meets the
requirements.
a.
The spinner has three sections: “move 3 spaces”,
“move 2 spaces” and move back 1 space”
b. The probability of landing on the “move two
spaces is 0.5.
c. The probability of landing in the “move back one
space is less than 0.25.
Explain how your spinner meets the criteria.
2.
The probability that it will snow tomorrow is
represented on the number line below with an X.
a.
Write a fraction which could be the probability
of snow tomorrow.
b.
Interpret this probability in terms of the
likelihood of snow tomorrow.
1.
During Jesse’s first four soccer games of the
season, he had 56 shots on goal. 7 of these shots were
goals, while the rest were saved.
a.
What is the probability that Jesse kicked a ball
that was saved during his first four games?
b.
In Jesse’s next game, he plans on kicking 10 shots.
Approximately how many goals should his coach project
Jesse to score?
2.
Tara is using a six-sided die to conduct an
experiment. What would be the probability that the die
would land on the number two, four times in a row?
1.
Marc lives in Canada and plans to visit the United
States. He decides to randomly throw a dart at a
map of the United States, and whichever state the
dart lands in will be the state that he visits. Marc
declares that the probability of visiting New York
1
State is 50 since there are 50 states.
Explain the flaw in Marc's reasoning.
2.
The dartboard below is composed of a square
within a square.
4in
2in
If the dart is randomly thrown at the board and hits the
board. Determine the probability that the dart will land in
the shaded region. Explain.
1.
2.
A nurse in the maternity ward of a hospital
develops a spinner to model the chances that a
newborn baby will be a boy or a girl.
The nurse spins the spinner 20 times. The results
are shown below, where B represents a boy and G
represents a girl.
B, B, B, B, G, G, B, B, B, G, B, B, B, B, B, B, G, B, B, B
Based on the spinner, what is the probability that a
newborn baby will be a boy?
Is this spinner a good model for determining
whether a newborn baby will be a boy or a
girl? Explain.
Jacob did not study for his science test and had to
guess on the first two questions.
a. Question 1 is a multiple choice answer with
answer choices of A, B, C, D, and E. What is
the chance that Jacob gets this question right?
Explain.
b. Question 2 is the same type of question as
question 1. What is the chance that Jacob gets
both question 1 and question 2 right? Explain
your answer.
1. Will either wears jeans, khaki shorts or gym pants
to school every day. He also wears a t-shirt, a
button-down shirt, or a sweater.
a. Draw a tree diagram that shows Will’s outfit
choices for school
b. Will adds another type of pants and another type
of shirt to his school wardrobe. Now how many
outfit choices does he have for school?
2. A series of running races are being run throughout
California. These locations are San Diego, San
Francisco, Tustin, Los Angeles and Sacramento. At
each race, participants can choose to run a 5K, 10K
or a Marathon
a. Create a tree-diagram that shows all the
different options that the participants have if
they want to run in this race series.
b. If a person randomly chooses one of the races,
what is the probability that he or she to run a
5K OR that he or she chooses to run in San
Diego?
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