PROBABILITY 23-24

A geometric solid with 8 faces is used in a game. Each face of the solid is labeled with a different number form 1 to 8. Amelia rolled the solid 30 times and recorded the number showing on the top face. The results are shown in the table.

Based on these results, what is the experimental probability that the next time the solid is rolled it will land with a 7 showing on the top face.

The table shows the numbers of different types of pies sold at a bakery during one day.

Based on the results in the table, which statement about the pies sold at this bakery during one week is NOT true?

• A

  It is two times as likely for a chocolate pie to be sold as for a lemon pie to be sold.

• B

  It is equally likely for an apple or pecan pie to be sold as for a chocolate pie to be sold.

• C

  It is more likely for an apple or lemon pie to be sold than for a pecan or chocolate pie to be sold.

• D

  It is less likely for a pecan pie to be sold than for a lemon pie to be sold.

A survey showed that 8 out of 20 homeowners in a neighborhood had cable television. If there were 320 homeowners in the neighborhood, how many could be expected to have cable television?

Mathematical Equivalence

ON

A student has a set of cards. Each card has a picture of one shape. The table shows the number of cards that have a picture of each shape. The student will randomly select one card from the set.

Which statement is true?

A deck of cards contains 12 cards with letters and 16 cards with numbers. A card is pulled from the deck at random and replaced. This process is carried out 14 times.

What is a reasonable prediction for the number of times a card with a letter should be chosen.

• A

  10

• B

  2

• C

  6

• D

  12

A fair spinner is divided into sections of equal size. Each section contains the picture of a diamond, a star, or a triangle.

Which statement about the result of spinning the arrow is true?

• A

  It is more likely to land on a diamond than a star.

• B

  It is equally likely to land on a triangle, a star, or a diamond.

• C

  It is 4 times as likely to land on a diamond as it is to land on a star.

• D

  It is less likely to land on a diamond than on a star

Jana is ordering a one-topping pizza. She can choose pepperoni or sausage for her topping and can choose thin, thick, or stuffed crust.

Complete the table to show all possible one-topping pizzas she can order?

Blank 1​ (a)  

Blank 4​ (b)   ​

Blank 5​ (c)  

Blank 6 ​ (d)  

• Pepperoni
• Sausage
• Thick
• Stuffed
• Thin

The table shows the numbers of different colors of pencils in a pencil case. A student will randomly select one pencil from the pencil case.

Based on the information in the table, which statement is true?

• F

  The pencil is least likely to be blue.

• G

  The pencil is 4 times as likely to be purple as it is to be red.

• H

  The pencil is equally likely to be blue or green.

• J

  The pencil is more likely to be purple than all other colors combined.

Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.

Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and 4 showing on the top face of the other number cube?

A bag contains flavored lollipops. A lollipop will be randomly selected from the bag.

-17 lollipops are grape flavored.

-8 lollipops are cherry flavored.

-14 lollipops are watermelon flavored.

-16 lollipops are strawberry flavored.

What is the probability in decimal form that the selected lollipop will be either cherry flavored or watermelon flavored?

Mathematical Equivalence

ON