MAT 152 Stanly Community College Probability Game High Low Lab Report

MAT 152
(Sections 3.1 – 3.3)
Chapter 3 Lab D
Probability Game
High Low
In order to complete this lab you will need to print this document, review it and watch the video in
Canvas: “Chapter 3 Lab High Low Probability Game Video”. Once you have completed the lab, please
answer the corresponding questions in Canvas in the “Chapter 3 Lab D Answer Entry Sheet” located in
Chapter 3. You must complete the “Answer Entry Sheet” in order to receive a grade for this
assignment, otherwise your grade will be 0.
In this lab, we are going to play the card game “High Low”. The goal of the game is to guess whether the
next card is higher or lower than the last one dealt. Since this is a statistics class, we want to use
probability to help us make an “educated” guess on “high low”. We will play the game, with the added
element that you will calculate several probabilities before making your “high low” guess.
Materials Needed: Calculator (optional), this document
Typically when playing “high low”, you use a standard deck of 52 cards (excluding jokers). We are going
to simplify the game the first time we play, to make the probability calculations a little easier.
GAME 1:
Please watch the video for instructions on how to proceed.
Note: List the 10 cards from the video in the boxes above.
Helpful Hints for completing the chart on the following page:
1. Leave all probabilities as fractions. (Consider Ace as a low card).
2. Make a guess in column 5 as to whether the next card will be higher or lower. (State “H” or “L”)
3. Keep in mind when calculating the new probabilities, the sample space will change each time. It
may be helpful to mark out the cards that you have flipped on the sample space picture above.
4. Complete all 5 rows of your table and answer the questions following the probability table.
Adapted from an activity on the website: www.teachforever.com
Card
(value and
suite)
Probability
that next card
is higher
Probability
that next card
is lower
Probability
that next card
is equal value
Your Guess
(“H” or “L”)
Was your
Guess correct?
(“Yes” or
“No”)
Questions:
1. How many of your guesses were correct? Did the probabilities help you with “your guess”?
(In order to receive full credit, you must use complete sentences.)
2.
How would the game change if you put each card back into the deck and shuffled every time
before dealing a new card? Would the probabilities change? If so, how? (In order to receive
full credit, you must use complete sentences.)
Adapted from an activity on the website: www.teachforever.com
Sample space for standard deck of playing cards:
Now we will play “High Low” with all 52 cards.
GAME 2:
Continue watching the video and fill in the chart below. Remember the helpful hints on probabilities
from Game 1. Complete all 10 rows of your table below and answer the questions following the
probability table.
Card
Probability
High
Probability
Low
Probability
Equal
Adapted from an activity on the website: www.teachforever.com
Your Guess
Was your
Guess correct?
Reflection Questions:
1. How many of your guesses were correct in Game 2? How do you think you did overall in Game
2? (In order to receive full credit, you must use complete sentences.)
2. How would Game 2 change if you put each card back into the deck and shuffled every time
before dealing a new card? (In order to receive full credit, you must use complete sentences.)
3.
Were the probability calculations easier to calculate in Game 1 or Game 2? Explain. (In order
to receive full credit, you must use complete sentences.)
4. How could you change the game “High Low” to make it easier to calculate probabilities? i.e.
Instead of “high/low”, what else could you play? (In order to receive full credit, you must use
complete sentences.)
In order to receive a grade for this lab, please enter your answers in Canvas in the “Chapter 3 Lab C
Answer Entry Sheet”.
Adapted from an activity on the website: www.teachforever.com

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