Transcript Episode1-Probability-NumericalRepresentations.ppt

Probability & Numerical Representations
Independent
Probability
Experimental
Probability
Sample
Spaces
Compound
Probability
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1
What is the greatest possible
probability of any event?
Row 1, Col 1
C – 15/60 is equal to ¼, and ¼ of 312 is 78.
15 of the 60 eighth-grade students surveyed
said they would vote for Hannah as their class
president. If the results of this survey are
used to predict the outcome of the election
and 312 eighth-grade students vote, which of
the following is closest to the number of votes
Hannah should get?
a. 187
b. 125
c. 78
d. 47
1,2
C – there is no green pen in the box
A box contains 2 red pens, 3 purple pens, 1
yellow pen, and 4 blue pens. A pen is chosen
at random and replaced. Another pen is
chosen at random and replaced. A third pen
is chosen at random and replaced. Which
shows a combination of 3 pens that could
NOT be selected from the box?
a.
b.
c.
d.
yellow, blue, yellow
Purple, yellow, yellow
Red, green, blue
Red, red, red
1,3
P = 1/225
“Volume” was 1 of 15 vocabulary words
written on slips of paper in a bucket.
Camilla had to choose 2 vocabulary
words from the bucket, one at a time.
After picking the first word, she returned
it to the bucket before choosing the
second word. What is the probability of
Camilla choosing the word “Volume”
twice in a row?
1,4
P = 1/2
What is the probability of
rolling a prime number on a
number cube?
2,1
Experimental probability
2,2
18 sandwiches
If I have 3 types of lunch meat,
2 types of bread, and 3 types of
cheese, how many different
sandwiches can I create?
2,3
P = 1/216
Malcom rolled a number cube
whose sides were numbered
from 1 to 6. What is the
probability of the cube landing
on a 4 three times in a row?
2,4
4 times
Benny is conducting an
experiment with a number
cube. He rolled the cube 24
times. How many times could
he expect the cube to land on 6?
3,1
P = 17/60
Tristan has a spinner that is divided into 4
equal sections. The sections are labeled 1, 2,
3, and 4. Tristan spun the spinner 60 times
and recorded the results in the table below.
What is the experimental probability of
spinning a 2?
Result
Total
1
12
2
17
3
15
4
16
3,2
There are 9 possible outcomes: 11, 12, 13, 21, 22, 23, 31,
32, 33
A spinner has three sections
numbered 1, 2, 3. The spinner is
spun twice to create a two-digit
number. How many different two
digit outcomes can result from
spinning this spinner?
3,3
P = 9/50
Leslie has two cups containing differentcolored paper clips. The first cup contains 7
pink paper clips and 3 blue paper clips. The
second cup contains 3 black paper clips, 1 red
paper clip, and 6 orange paper clips. What is
the probability that Leslie will randomly
select a blue paper clip from the first cup and
then randomly select an orange paper clip
from the second cup?
3,4
P = 11/14
Kyle drew a Skittle at random
from a bag containing 4 orange, 3
red, 2 yellow, and 5 green
Skittles. What is the probability
that he picked a Skittle that is
NOT red?
4,1
1/50
Carlos has a bag of Jolly Ranchers. There are 4 red
candies, 5 blue candies, and 1 green candy. He
conducted an experiment in which he pulled out
one candy and recorded the color and then
returned it to the bag 50 times. His results are
shown in the table below. What is the difference
between the theoretical probability and the
experimental probability of picking a green candy?
Result
Total
Red
22
Blue
24
Green
4
4,2
There are 8 possible outcomes.
Jonathan took a 3 question
true-false quiz and guessed the
answer to each question. How
many possible outcomes are
there for Jonathan’s correct
and incorrect responses?
4,3
P = 1/4
Boris has a coin and a number
cube. The number cube is labeled
1 through 6. He flips the coin once
and rolls the number cube once.
What is the probability that the
coin lands tails-up and the cube
lands on an even number?
4,4
P = 2/9
Autumn spins this spinner twice and
determines the product of the spins.
What is the probability that Autumn
will get a product of 20?
2
5
4
5,1
P = 1/9
Mikey bowled the following scores:
143, 125, 164, 150, 125, 163
To have an overall average score of
140, Mikey must score 125 in each of
his next 2 games. Based on his scores
for the first 6 games, what is the
probability that he will score 125 in
each of his next two games?
5,2
There are 6 possible outcomes: FF/S, FF/O, FF/B, S/O,
S/B, O/B
Karla will select 2 different side dishes
from the following list at a restaurant.
• French fries
• Salad
• Onion rings
• Beans
Find the number of possible outcomes of
2 different side dishes from this list.
5,3
P = 1/3
Graysen has a green number cube
and a white number cube. The faces
of the cubes are numbered 1 through
6. Graysen will roll each cube one
time. What is the probability that the
green cube wil lland with an even
number faceup and the white cube
will land with a number grater than 2
faceup?
5,4