Transcript File - Ms. Rogers` Website

Theoretical
Experimental
Independent
/Dependent
Mutually
Exclusive
Sampling
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30
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Topic 1 – 10 Points
QUESTION:
•What is the Theoretical Probability of landing on red?
ANSWER:
•2/6 =1/3 = 33.33%
Topic 1 – 20 Points
QUESTION:
•What is the theoretical probability of rolling either a 5 or a 6
ANSWER:
•2/6=1/3 = 33. 33%
Topic 1 – 30 Points
QUESTION:
•What is the theoretical probability of rolling a number larger
than 2.
ANSWER:
•4/6 = 2/3 = 66.67%
Topic 1 – 40 Points
QUESTION:
•Ten tickets are numbered one through 12 and placed in a
box. One ticket is drawn at random from the box. What is
the theoretical probability of drawing a number that is
divisible by 4.
ANSWER:
•3/12 = ¼ = 25%
Topic 1 – 50 Points
QUESTION:
•A bag contains 4 blue marbles, 5 yellow marbles, and 6 red
marbles. What is the theoretical probability of randomly
drawing a blue or a yellow?
ANSWER:
•9/15 = 3/5 = 60%
Topic 2 – 10 Points
QUESTION:
•What was the Experimental Probability of landing on red?
ANSWER:
•18/50 = 9/25 = 36%
Topic 2 – 20 Points
QUESTION:
•Amanda used a standard deck of 52 cards and selected a card
at random. She recorded the suit of the card she picked, and
then replaced the card. The results are in the table below.
What is the experimental probability of selecting a diamond?
ANSWER:
•7/ 30= 23.33%
Topic 2 – 30 Points
QUESTION:
•Amanda used a standard deck of 52 cards and selected a card
at random. She recorded the suit of the card she picked, and
then replaced the card. The results are in the table below.
What is the experimental probability of selecting a heart or a
spade?
ANSWER:
•20/30 = 2/3 = 66.67%
Topic 2 – 40 Points
QUESTION:
•Dale conducted a survey of the students in his classes to
observe the distribution of eye color. The table shows the
results of his survey. What is the experimental probability that
a student in Dale’s class will not have blue or hazel eyes?
ANSWER:
•60/80 = ¾ = 75%
Topic 2 – 50 Points
QUESTION:
•Your sock drawer is a mess! You know that you have 32
pairs of socks, or 64 individual socks in four different colors:
white, blue, black, and tan. You do not want to count all of
your socks, so you randomly pick 20 individual socks and
predict the number from your results. Based on your
experimental probability how many PAIRS of tan socks
should you have in your drawer?
ANSWER:
•6.4 socks- 6 pairs of tan socks
Topic 3 – 10 Points
QUESTION:
•A cube has two faces labeled with 1, three labeled with a 2,
and one labeled with a 3. Find the probability that in three
rolls you will roll a 1, then a 2, then a 3.
ANSWER:
•2/6 x 3/6 x 1/6 = 1/36 = 2.77%
Topic 3 – 20 Points
QUESTION:
•A cube has two faces labeled with 1, three labeled with a 2,
and one labeled with a 3. Find the probability that in three
rolls you will roll a 1 all three times.
ANSWER:
•1/27 = 3.7%
Topic 3 – 30 Points
QUESTION:
•Find the probability was flipping a heads four times in a row.
ANSWER:
•1/16 = 6.25%
Topic 3 – 40 Points
QUESTION:
•A jar contains 8 red marbles, 6 white marbles, and 2 green
marbles. A marble is drawn randomly from the jar and NOT
REPLACED. A second marble is drawn. What is the
probability of the first marble is red and the second marble is
not red.
ANSWER:
•8/16 x 8/15 = 4/15 = 26.66%
Topic 3 – 50 Points
QUESTION:
•Rita wrote each of the letters from the work ALGEBRA on
index cards. She then put the cards in a box and randomly
drew out two without putting the first card back. What is the
probability of drawing two vowels?
ANSWER:
•3/7 x 2/6 = 1/7 = 14.3%
Topic 4 – 10 Points
QUESTION:
•Two number cubes are rolled. Find the probability of rolling
a sum of 1 or sum of 10.
ANSWER:
•3/36= 1/12
Topic 4 – 20 Points
QUESTION:
•What is the probability of drawing a Spade or a Diamond
from a standard deck of cards?
ANSWER:
•13/52+13/52 = ½ = 50%
Topic 4 – 30 Points
QUESTION:
•What is the probability of flipping a heads or a tails?
ANSWER:
•1/1 = 100%
Topic 4 – 40 Points
QUESTION:
•Rita wrote each of the letters from the work ALGEBRA on
index cards. She then put the cards in a box and randomly
drew out two without putting the first card back. What is the
probability of drawing an L or R or A
ANSWER:
•1/7 + 1/7 + 2/7 = 4/7 = 57.14%
Topic 4 – 50 Points
QUESTION:
•What is the probability of randomly selecting the month of
February or the 31st day of the month?
ANSWER:
•1/12 + 7/365 = 449/4380 = 10.25%
Topic 5 – 10 Points
QUESTION:
•You polled a sample of 25 sixth graders about their favorite
ice cream flavor between chocolate and vanilla. 12 of them
prefer chocolate. Of the 211 6th graders at CMS, how many
would prefer chocolate ice cream? Is this a valid
representation?
ANSWER:
•101 6th graders. Yes valid.
Topic 5 – 20 Points
QUESTION:
•Type your question in here relating to Topic 5. As the Points
get higher make questions harder.
ANSWER:
•(type answer here)
Topic 5 – 30 Points
QUESTION:
•Type your question in here relating to Topic 5. As the Points
get higher make questions harder.
ANSWER:
•(type answer here)
Topic 5 – 40 Points
QUESTION:
•Type your question in here relating to Topic 5. As the Points
get higher make questions harder.
ANSWER:
•(type answer here)
Topic 5 – 50 Points
QUESTION:
•What makes a sample population a valid representation of a
larger population?
ANSWER:
•Large Sample
•Diverse Sample
•Similar demographics (age, race, religion, socio-economic
status)
•Etc.