Predicting Outcomes Worksheets

Predicting Outcomes Worksheets

1.

John wants to buy a pair of socks. John found four colors to choose from yellow, blue, brown and black. Find the number of possible choices John has.

a. 1

b. 4

c. 3

d. 2

Solution:Since there are 4 colors available, John has 4 possible choices.

2.

Which one of these is not an outcome when a number cube marked 1-6 is rolled?

a. 4

b. 5

c. 3

d. 7

Solution:A cube has 6 faces marked 1 to 6.

7 cannot be an outcome as 7 > 6.

3.


Jeff spinned the spinner shown 20 times. He recorded the number of times the spinner stopped on each color, in a tally table. How many tally marks should come against green color in the table?

a. 9

b. 7

c. 13

d. 8

Solution:The spinner is NOT divided into 2 equal regions. The pink region is more than the green region. So, the spinner is more likely to stop on pink than green.

Jeff spinned the spinner 20 times.

Out of 20 spins, 13 times the spinner stopped on pink color.

So, the remaining ( 20 - 13) = 7 times, the spinner stopped on green color.

So, 7 tally marks should come against the green color.

4.


Which one of these is not an outcome when the spinner shown is spun?

a. the spinner stopping on the brown region

b. the spinner stopping on the yellow region

c. the spinner stopping on the green region

d. the spinner stopping on the orange region

Solution:There is no brown region in the spinner.

So the spinner stopping on the brown region cannot be an outcome.

5.

Sandra bought three vegetables Carrot, Tomato, and Potato. Which of the following shows all the different ways that Sandra can choose 2 of them for a recipe?

Solution:Sandra can choose the first vegetable in 3 ways from the 3 available. The first vegetable could be Carrot or Tomato or Potato.

Imagine Sandra has chosen Carrot, then for the second choice she now has 2 vegetables to choose from, Tomato or Potato.


Proceeding this way she can choose two vegetables in three different ways as shown in Figure 1.

6.

Kim has 3 crayons in different colors Blue,Green, and Purple. Which list shows all the possible ways in which she can choose two crayons to draw a picture?

a. BG, BP, GP

b. BG, GP

c. BG, BP, GP, BB, GG, PP

d. None of these

Solution:Kim can choose the first crayon in 3 ways from the 3 available. The first crayon could be Blue or Green or Purple in color.

Imagine Kim has chosen Blue crayon, then for the second choice he now has 2 colors to choose from, Green or Purple.

Proceeding this way he can choose two crayons in three different ways as BG, BP, GP.[B - Blue, G - Green, P - Purple.]

7.

Identify the list that shows all the possible ways in which Ann, Paula, and Dorothy stand in line.

a. AP, DP, DA

b. APD, PDA, DPA

c. APD, ADP, PDA, PAD, DAP, DPA


d. APD, ADP

Solution:There are 3 positions available for the girls to stand.

If Ann stands in the first position, then Paula or Dorothy can stand next to Ann. Imagine Paula stands next to Ann, then the last position can be taken up by Dorothy. So, APD is one of the ways the three girls can stand in a line.

Proceeding this way, the three girls can stand in a line in 6 different ways as 'APD, ADP, PDA, PAD, DAP, DPA'

8.

Katherine has 3 hats in different colors Red,Blue, and Pink. Which list shows all the possible ways in which she can choose two hats?

a. RB, RP

b. RB, RP, BP, RR, BB, PP

c. RB, RP, BP

d. None of these

Solution:Katherine can choose the first hat in 3 ways from the 3 available. The first hat could be Red or Blue or Pink in color.

Imagine Katherine has chosen Red hat, then for the second choice she now has 2 colors to choose from, Blue or Pink.

Proceeding this way she can choose two hats in three different ways as RB, RP, BP.[R - Red, B - Blue, P - Pink.]


9.

______ is a situation involving chance or probability that leads to results called outcomes.

a. An outcome

b. An event

c. Prediction

d. An experiment

Solution:An experiment is a situation involving chance or probability that leads to results called outcomes.

10.

_________ is the result of a single trial of an experiment.

a. An outcome

b. Probability

c. An event

d. None of the above

Solution:An outcome is the result of a single trial of an experiment.

11.

A spinner having 2 equal sectors, colored black and violet, is spun. What is the experiment in this situation?


a. The spinner landing on the violet colored sector

b. The spinner landing on the black colored sector

c. Spinning the spinner



Spinning the spinner is an experiment in the situation.

12.

A spinner having 2 equal parts, colored red and green, is turned. Which of these is the possible outcome?

a. The experiment

b. Spinning the spinner

c. Spinner landing on red or green sectors



The possible outcome of the situation is the spinner landing on red or green sectors.

13.

A coin is tossed. What is the experiment in this situation?


a. Getting a tail

b. Tossing the coin

c. Getting a head



So, tossing the coin is the experiment in the situation.

14.

A coin is tossed. What are the possible outcomes?

a. getting a head or a tail

b. getting a tail only

c. getting a head only

d. tossing a coin


The possible outcomes of the situation are getting a head or a tail.

15.

Which of the following is an experiment?


a. Rolling a single dice

b. Choosing a ball from a bag of balls

c. Choosing a card from a deck of cards

d. All the above


Rolling a single dice, choosing a ball from a bag of balls and choosing a card from a deck of cards are all different types of experiments.

16.

Which of the following is an outcome?

a. Landing on pink sector when a spinner is turned

b. Getting a head when a coin is tossed

c. Picking a red ball from a bag

d. All the above


Landing on pink sector, getting a head when a coin is tossed and picking a red ball are all the outcomes of different experiments.

17.


How many two-digit numbers can be formed using the numbers 5, 6, and 7?

a. 3

b. 6

c. 9


Solution:List all the outcomes from forming two-digit numbers using 5, 6, and 7.

They are 55, 56, 57, 65, 66, 67, 75, 76, and 77.

So, 9 two-digit numbers can be formed.

18.

List all the possible outcomes when two coins are tossed simultaneously.

a. HT and TH

b. HH and TT

c. HH, HT, TH, and TT



The possible outcomes when a single coin is tossed are Head(H) or Tail(T).

The possible outcomes when two coins are tossed simultaneously are HH, HT, TH, and TT.


19.

A spinner with 3 equal sectors colored pink, yellow, and violet is turned. List all the possible outcomes.

a. landing on pink

b. landing on yellow

c. landing on violet

d. All the above


The possible outcomes of the situation are landing on pink, yellow, or violet.

20.

A six-sided dice is rolled once. What is the experiment in this situation?

a. Rolling a 1

b. Rolling a 6

c. Rolling the dice



Rolling the dice is the experiment in the situation

21.


A six-sided dice is rolled once. List all the outcomes such that the result is less than 4.

a. 1, 2, 3, 4

b. 1, 2, 3

c. 3

d. 5, 6


When a six-sided dice is rolled, the possible outcomes are 1, 2, 3, 4, 5, 6.

The outcomes where the result is less than 4 are 1, 2, 3.

22.

Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 5.

a. (0, 5), (5, 0)

b. (1, 4), (2, 3), (3, 2), (4, 1)

c. (0, 5)



Outcomes, where the sum of the two numbers is 5 are (1, 4), (2, 3), (3, 2), (4, 1).


23.

From a jar containing 1 red, 1 blue, and 1 green ball, two balls are drawn one after the other. Which list shows every possible combination of the two balls drawn?

a. RB, BR

b. RB, RG, BR, BG, GB and GR

c. RR, BB, GG


Solution:

Draw a tree diagram to find the sample space.

The possible outcomes are RB, RG, BR, BG, GB and GR.

24.

A spinner with 3 equal sectors colored red, blue and green is turned. How many outcomes are possible?

a. 1

b. 4

c. 3

d. 2



The possible outcomes are landing on red, blue or green.

So, the number of possible outcomes is 3.

25.

A coin is tossed. Find the number of possible outcomes.

a. 1

b. 3

c. 2


The possible outcomes are getting a Head (H) or a Tail (T).

So, there are 2 possible outcomes.

26.

Jimmy is playing a chess game with Chris. Which of the following is a possible outcome?

a. Jimmy winning the game

b. Playing a chess game

c. Chris winning the game

d. Both A & C


Solution:A possible outcome is something that has a chance of happening.

The possible outcomes for the game played by Jimmy and Chris are, Jimmy winning the game and Chris winning the game.

So, both the statements are possible outcomes.

27.

The spinner shown is spun once. Which of the following is a possible outcome?

a. the spinner stopping on green

b. the spinner stopping on white

c. the spinner stopping on brown

d. the spinner stopping on black

Solution:The spinner when spun might stop on any one of the 5 colors shown. So, there are 5 possible outcomes.

Among the given choices, the spinner stopping on green is the possible outcome.

28.


The spinner is rotated once. Which of the following is a possible outcome?

a. The spinner stops at green squares region

b. The spinner stops at orange triangles

c. The spinner stops at yellow ovals

d. All the above

Solution:A possible outcome is the one that has a chance of occurring.

Choice D is the correct choice. Because when the spinner is rotated, each of the outcome specified in A, B and C has a chance of occurring.

29.

Henry and Charles are playing a game in which the rule is, whenever the spinner stops at pink color, Henry gets an ice cream and whenever the spinner stops at green color, Charles gets an ice cream. What kind of a game is this?

a. fair


b. unfair

c. likely

d. certain

Solution:The area covered by green color is less than the area covered by pink color. So, the players do not have equal chance of winning the game.

So, the game is unfair.

30.

A bag has 10 flowers and 5 leaves. Jeff is a winner if he gets a flower and Brian is a winner if he gets a leaf. What kind of game is this?

a. likely

b. fair

c. unfair

d. certain

Solution:Number of flowers in the bag = 10

Number of leaves in the bag = 5

5 < 10, the number of leaves is less than the number of flowers.

Jeff is more likely to win as the number of flowers is more than that of leaves. So, this game is unfair.

31.


Ed and Charles are playing a game with the spinner shown below. Ed is the winner if he gets an odd number and Charles is the winner if he gets an even number. Is the game fair or unfair?

a. Fair

b. Unfair

Solution:The number of regions in the spinner is 6.

Five regions have odd numbers and one region has even number.

This game is unfair, because the two players do not have equal chance of winning the game.

32.

Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 7.

a. (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)

b. (4, 4), (5, 1), (6, 3)

c. (1, 5), (2, 6), (3, 3)




Outcomes, where the sum of the two numbers is 7 are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1).

33.

Jason has to select one shirt among the 6 shirts. How many outcomes are possible?

a. 7

b. 5

c. 8

d. 6


The number of possible outcomes is 6.

34.

If a number is chosen at random from the numbers 3 to 16, then how many possible outcomes can be odd numbers?

a. 4

b. 5

c. 7

d. 6



The numbers from 3 to 16 are 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 and 16.

The odd numbers in the above set are 3, 5, 7, 9, 11, 13 and 15.

The number of possible outcomes that can be odd numbers is 7.

Predicting Outcomes Worksheets

Documents

Transcript of Predicting Outcomes Worksheets