We included HMH Into Math Grade 8 Answer Key PDF Module 9 Two-Way Tables to make students experts in learning maths.
HMH Into Math Grade 8 Module 9 Answer Key Two-Way Tables
Build a Deck
- A new card game will have a deck of 100 cards. Each card will have a number and a color. The deck needs to follow these rules: When selecting a card from the deck at random, drawing …
- a pink card is as likely as unlikely.
- a purple card is unlikely.
- a blue card is impossible.
- a number less than 10 is likely.
- a number less than or equal to 20 ¡s certain.
Design a deck of cards that follows the rules. Tell how many cards of each color will be in the deck and how the cards of each color will be numbered.
Answer:
A pink card is as likely as unlikely – Pink cards may or may not be 0 to 20,
A purple card is unlikely- 0- It is impossible event,A blue card is im possible – 0 – It is impossible event, A number less than 10 is likely – 0 to 9 – 10 cards, \(\frac{10}{100}\) = \(\frac{1}{10}\), A number less than or equal to 20 is certain – 0 to 20 – 21 cards, \(\frac{21}{100}\), There will be 5 color cards in the deck numbered each one color from 1 to 20.
Explanation:
Given a new card game will have a deck of 100 cards.
Each card will have a number and a color.
The deck needs to follow these rules: When selecting a card from the deck at random, drawing,
* A pink card is as likely as unlikely mean spink cards may or may not be 0 to 20,
* A purple card is unlikely- 0- As event is unlikely so it is 0 it is known as impossible event.
* A blue card is impossible – 0 – It is impossible event,
* A number less than 10 is likely – 0 to 9 – 10 cards,
\(\frac{10}{100}\) = \(\frac{1}{10}\),
A number less than or equal to 20 is certain –
0 to 20 – 21 cards, \(\frac{21}{100}\),
Designed a deck of cards that follows the rules.
Number of cards of each color will be in the deck will be 5 and The cards of each color will be numbered from 1 to 20.
Turn and Talk
Explain how you know that the deck needs to include at least 3 colors of cards.
Answer:
As a number less than or equal to 20 is certain, We require more than 3 colors of cards as
it is required more than 63 cards in the deck,
Explanation:
As a number less thannor equal to 20 is certain it is certain event there are each color of cards 0 to 20.
As 3 color of cards in the deck means only 63 and we require 100 cards, therefore we need to include
at least 3 color of cards.
Are You Ready?
Complete these problems to review prior concepts and skills you will need for this module.
More Likely, Less Likely, Equally Likely
For Problems 1-2, state whether each event is certain, likely, as likely as unlikely, unlikely, or impossible.
Question 1.
getting a number less than 2 when rolling a number cube with faces numbered from 1 to 6
Answer:
Likely,
Explanation:
Given getting a number less than 2 when rolling a number cube with faces numbered from 1 to 6 as less than 2 means 1 can come, so the event is likely.
Question 2.
having rain on a day when the weather forecast states that the probability of rain is 80%
Answer:
As likely as unlikely,
Explanation:
Given having rain on a day when the weather forecast, states that the probability of rain is 80% and
20% it may not rain so the event as likely as unlikely.
Question 3.
Give an example of an event that has a probability of 50%.
Answer:
A coin that has 2 different sides,
Explanation:
A coin is a perfect example of something that has 2 different sides and therefore 2 possibilities
when a coin is flipped. Coins generally have 2 different images, one on each side often called heads and tails. When we flip a coin into the air, we have a 50/50 chance of it landing on the head side or the tail side.
Experimental Probability
The crackers in a box come in three shapes. Max randomly chose one cracker at a time 40 times, returning the cracker to the box each time. Use the table to answer Problems 4-6.
Answer:
\(\frac{1}{40}\),
Explanation:
Given the crackers in a box come in three shapes. Max randomly chose one cracker at a time 40 times, returning the cracker to the box each time so probability is \(\frac{1}{40}\).
Question 4.
A. Find the experimental probability of choosing an
Answer:
Oval : \(\frac{18}{40}\) or \(\frac{9}{20}\),
Rectangle : \(\frac{14}{40}\) or \(\frac{7}{20}\),
Star : \(\frac{8}{40}\) or \(\frac{1}{5}\),
Explanation:
The experimental probability of choosing an Oval is \(\frac{18}{40}\) or \(\frac{9}{20}\), Rectangle is \(\frac{14}{40}\) or \(\frac{7}{20}\), Star is \(\frac{8}{40}\) or \(\frac{1}{5}\).
B. Predict how many times Max will choose an oval cracker if he carries out this process 200 times.
Answer:
\(\frac{18}{200}\) or \(\frac{9}{100}\),
Explanation:
Predicting many times Max will choose an oval cracker if he carries out this process 200 times is
\(\frac{18}{200}\) or \(\frac{9}{100}\),
Question 5.
A. Find the experimental probability of choosing a rectangular cracker.
Answer:
\(\frac{1}{14}\),
Explanation:
The experimental probability of choosing a rectangular cracker is\(\frac{1}{14}\),
B. Predict how many times Max will choose a rectangular cracker if he carries out this process 400 times.
Answer:
\(\frac{14}{400}\),
Explanation:
Predicting many times Max will choose a rectangular cracker if he carries out this process 400 times is \(\frac{14}{400}\).
Question 6.
A. Find the experimental probability of choosing a cracker that is not star-shaped
Answer:
\(\frac{32}{40}\) or \(\frac{2}{5}\),
Explanation:
The experimental probability of choosing a cracker that is not star-shaped is \(\frac{32}{40}\) or \(\frac{2}{5}\).
B. Predict how many times Max will choose a star-shaped cracker if he carries out this process 500 times.
Answer:
\(\frac{8}{500}\) or \(\frac{2}{125}\),
Explanation:
Predicting many times Max will choose a star-shaped cracker if he carries out this process 500 times is
\(\frac{8}{500}\) or \(\frac{2}{125}\).