Probability and Statistics

by Ashley Cozza

| 26 QuestionsNote from the author:

Review

1

1

Which spinner has a 1 out of 4 probability of landing on white?

Joy's Spinner

Colin's Spinner

Desmond's Spinner

Yvonne's Spinner

2

1

Zack is playing a board game. On his next turn he can move his piece to any of the 8 shaded squares on the board shown. What are the chances that he will move his piece to an odd-numbered square?

2 out of 8

3 out of 8

4 out of 8

6 out of 8

3

1

A block has 2 red sides, 2 green sides, 1 blue side, and 1 yellow side. What is the probability that when the block is rolled it will land green side up?

1/5

1/6

2/5

2/6

4

2

Maria will spin the arrow on one of the three spinners shown. If the arrow stops on yellow or orange, she will win a prize. Which spinner will give Maria the best probability of winning a prize? Explain why the spinner you chose will give Maria the best probability of winning a prize.

5

1

Colin put some buttons on a table. There were 4 blue buttons, 5 red buttons, 7 tan buttons, and 8 white buttons. Colin's cat jumped up and knocked 1 button onto the floor. What is the probability that the button on the floor was blue?

6

2

In a group of 40 people, 32 are over 5 feet 7 inches in height, and the others are under 5 feet 7 inches. If one person is selected at random from this group, what is the probability the person's height will be under 5 feet 7 inches? Write the probability as a ratio and a decimal.

7

1

Laura received a box of chocolates for her birthday. The chocolates in the box have five different fillings. The table shows how many chocolates with each type of filling are in the box. The chocolates are all the same shape and size. Laura does not like coconut or toffee. What is the probability that Laura will pick a chocolate from the full box that has a filling she does like?

8

1

Mary chooses an integer at random from 1 to 6. What is the probability that the integer she chooses is a prime number?

Note: A prime number is a number that can only be evenly divisible by one and itself.

9

1

A spinner is divided into 6 equal sections numbered from 1 to 6. If the arrow is spun once, what is the probability that it will land on a section numbered 4 or 5?

10

1

Jacob stood in line to pick up a souvenir postcard at the museum. All the postcards were either blue, white, or green, with a picture of a fish, insect, or bird. There was an equal number of each type of postcard. What is the probability that Jacob was randomly handed a green postcard with a fish on it?

11

1

Ms. Brown will randomly choose a student in Justin's class to erase the board. There are 26 students in the class. What is the probability that Ms. Brown will choose Justin to erase the board?

1 out of 25

1 out of 26

13 out of 26

25 out of 26

12

1

Rosa is playing a game with the spinner shown below. The parts of the spinner are equal in area. She needs the spinner arrow to land on an even number to win.

What is the probability the arrow will land on an even number?

13

1

A spinner is divided into five equal sections numbered 1 through 5. Predict how many times out of 240 spins the spinner is most likely to stop on an odd number.

14

1

Derek conducts a probability experiment for his mathematics class. He uses the ten cards shown.

Derek randomly picks one of the ten cards from a container, looks at the color, and replaces the card. He repeats this 100 times. How many times would you expect Derek to pick a white card?

15

1

A box contains 6 dimes, 8 nickels, 12 pennies, and 3 quarters. What is the probability that a coin drawn at random is not a dime?

16

1

Which event has a probability of zero?

choosing a letter from the alphabet that has line symmetry

choosing a number that is greater than 6 and is even

choosing a pair of parallel lines that have unequal slopes

choosing a triangle that is both isosceles and right

17

2

Dylan has a bag containing 15 marbles. The table below shows the number of marbles of each color in the bag. As part of a probability experiment for his science class, Dylan randomly picks a marble from the bag and then replaces it. He repeats this 300 times.

Part A: Dylan randomly picks a marble from the bag. What is the probability the marble will be red?

Part B: Predict the number of times out of 300 Dylan will pick a red marble.

18

1

Ray’s teacher assigns classroom jobs by having students pick job tickets out of a box. There are 31 tickets for Line Leader, 10 tickets for Paper Passer and 19 tickets for Book Collector. If Ray randomly selects a ticket from the box, what is the probability that he will pull out a ticket for Line Leader?

19

1

As captain of his football team, Jamal gets to call heads or tails for the toss of a fair coin at the beginning of each game. At the last three games, the coin has landed with heads up. What is the probability that the coin will land with heads up at the next game? Explain your answer.

20

1

A six-sided number cube has faces with the numbers 1 through 6 marked on it. What is the probability that a number less than 3 will occur on one toss of the number cube?

21

1

When a fair coin was tossed ten times, it landed heads up the first seven times. What is the probability that on the eighth toss the coin will land with tails up?

22

1

A set of five quadrilaterals consists of a square, a rhombus, a rectangle, an isosceles trapezoid, and a parallelogram. Lu selects one of these figures at random. What is the probability that both pairs of the figure’s opposite sides are parallel?

23

1

Gabby wants to know how many of the 500 students at her school have at least one pet. She wants to survey a sample of 20 students. Use this information to answer the following question. Which of the following methods will result in a random sample?

Gabby assigns a number to each student at school. She writes the numbers on slips of paper, randomly chooses 20 numbers, and surveys those students.

Gabby puts up a sign that asks students to voluntarily record the number of pets they have. She takes the first 20 students.

Gabby randomly surveys one boy and one girl at each lunch table during school lunch until she has surveyed 20 people.

Gabby asks 20 out of 40 teachers at the school to randomly choose one student for the survey.

24

1

Gabby wants to know how many of the 500 students at her school have at least one pet. She wants to survey a sample of 20 students. Use this information to answer the following question. Twelve out of 20 students in Gabby’s survey have at least one pet. If the following sample is representative, which of the following inferences can be made?

Some students have more than one pet.

More than half of the students at the school are likely to have at least one pet.

About 175 students are likely to have at least one pet.

About 200 students are likely to have at least one pet.

25

1

At Twin's Ranch, the weight of 28 cows is measured in pounds. Fourteen of the cows are male and 14 of the cows are female. The following statistical information is calculated from the data gathered. Based on these samples, what generalization can be made?

Note: IQR= Q3-Q1

The interquartile range for the male cows is greater than the interquartile range for the female cows.

Not enough information is provided to draw any of these conclusions.

At least half of the cows weigh between 1,400 and 1,600 pounds.

The median for the male cows is 250 pounds greater than for the female cows.

26

1

Two pet stores offer customers the opportunity to donate money, in dollar increments, to the local humane society at the register. The dot plots below show the amounts donated last week. What is the difference in the mode amount donated in each pet store?

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