Simple Probability 2

Question 1 of 7

Find the probability of rolling a six-sided dice and getting:

$(i) 2$

$(ii) 4$ or

$5$

Write fractions in the format “a/b”

$(i)$ (1/6, 0.17)

$(ii)$ (⅓, 1/3, 2/6, 0.33)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

$\mathsf{P(E)}=\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$

Addition Principle

If two or more events are joined by OR, their probabilities should be added.

$(i)$ Find the probability of rolling a six-sided dice and getting

$2$ .

favourable outcomes

$=$ $1$ (

$2$ )

total outcomes

$=$ $6$ (

$1,2,3,4,5,6$ )

$\mathsf{P(}2\mathsf{)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{1}}{\color{#007DDC}{6}}$	Substitute values

$(ii)$ Find the probability of rolling a six-sided dice and getting

$4$ or

$5$ .

favourable outcomes

$=$ $2$ (

$4,5$ )

total outcomes

$=$ $6$ (

$1,2,3,4,5,6$ )

$\mathsf{P(}4\:\mathsf{or}\:5\mathsf{)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{2}}{\color{#007DDC}{6}}$	Substitute values

	$=$	$\frac{1}{3}$

$(i) 1/6$

$(ii) 1/3$

Question 2 of 7

The numbers on this spinner correspond to the degree angle of that color. What is the probability of the arrow landing on:

$(a)$ Yellow

$(b)$ Blue

Write fractions in the format “a/b”

$(a)$ (½, 1/2, 180/360, 0.5)

$(b)$ (1/9, 40/360, 0.11)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

$\mathsf{P(E)}=\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$

$(a)$ Find the probability of the arrow landing on Yellow.

favourable outcomes

$=$ $180$ (degree measure of Yellow which is a semicircle)

total outcomes

$=$ $360$ (degree measure of the whole circle)

$\mathsf{P(Yellow)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{180}}{\color{#007DDC}{360}}$	Substitute values

	$=$	$\frac{1}{2}$

$(b)$ Find the probability of the arrow landing on Blue.

favourable outcomes

$=$ $40$ (Blue measures

$40$ degrees)

total outcomes

$=$ $360$ (degree measure of the whole circle)

$\mathsf{P(Blue)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{40}}{\color{#007DDC}{360}}$	Substitute values

	$=$	$\frac{1}{9}$

$(a) 1/2$

$(b) 1/9$

Question 3 of 7

The numbers on this spinner correspond to the degree angle of that color. What is the probability of the arrow landing on:

$(c)$ not Red

$(d)$ Blue or Orange

Write fractions in the format “a/b”

$(c)$ (5/6, 300/360, 0.83)

$(d)$ (⅓, 1/3, 120/360, 0.33)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

$\mathsf{P(E)}=\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$

Addition Principle

If two or more events are joined by OR, their probabilities should be added.

$(c)$ Find the probability of the arrow NOT landing on Red.

favourable outcomes

$=360-60=$ $300$ (degree measure of the sector without Red)

total outcomes

$=$ $360$ (degree measure of the whole circle)

$\mathsf{P(not\:Red)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{300}}{\color{#007DDC}{360}}$	Substitute values

	$=$	$\frac{5}{6}$

$(d)$ Find the probability of the arrow landing on Blue or Orange.

favourable outcomes

$=40+80=$ $120$ (degree measure of Blue

$+$ Orange)

total outcomes

$=$ $360$ (degree measure of the whole circle)

$\mathsf{P(Blue\:or\:Orange)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{120}}{\color{#007DDC}{360}}$	Substitute values

	$=$	$\frac{1}{3}$

$(c) 5/6$

$(d) 1/3$

Question 4 of 7

Given the spinner below, find the probability of the arrow landing on:

$(a)$ Pink

$1$

$(b)$ an Even number

Write fractions in the format “a/b”

$(a)$ (1/5, 0.2)

$(b)$ (2/5, 0.4)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

$\mathsf{P(E)}=\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$

Addition Principle

If two or more events are joined by OR, their probabilities should be added.

$(a)$ Find the probability of the arrow landing on Pink

$1$ .

favourable outcomes

$=$ $1$ (Pink

$1$ )

total outcomes

$=$ $5$ (Pink

$1$ , Green

$2$ , Orange

$3$ , Blue

$4$ , Yellow

$5$ )

$\mathsf{P(Pink\:}1\mathsf{)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{1}}{\color{#007DDC}{5}}$	Substitute values

$(b)$ Find the probability of the arrow landing on an Even number.

favourable outcomes

$=$ $2$ (Green

$2$ , Blue

$4$ )

total outcomes

$=$ $5$ (Pink

$1$ , Green

$2$ , Orange

$3$ , Blue

$4$ , Yellow

$5$ )

$\mathsf{P(Even)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{2}}{\color{#007DDC}{5}}$	Substitute values

$(a) 1/5$

$(b) 2/5$

Question 5 of 7

Given the spinner below, find the probability of the arrow landing on:

$(c)$ an Odd number

$(d)$ Zero

Write fractions in the format “a/b”

$(c)$ (3/5, 0.6)

$(d)$ (0, 0/5)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

$\mathsf{P(E)}=\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$

Addition Principle

If two or more events are joined by OR, their probabilities should be added.

$(c)$ Find the probability of the arrow landing on an Odd number.

favourable outcomes

$=$ $3$ (Pink

$1$ , Orange

$3$ , Yellow

$5$ )

total outcomes

$=$ $5$ (Pink

$1$ , Green

$2$ , Orange

$3$ , Blue

$4$ , Yellow

$5$ )

$\mathsf{P(Odd)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{3}}{\color{#007DDC}{5}}$	Substitute values

$(d)$ Find the probability of the arrow landing on Zero.

favourable outcomes

$=$ $0$ (the Spinner has no sector with

$0$ )

total outcomes

$=$ $5$ (Pink

$1$ , Green

$2$ , Orange

$3$ , Blue

$4$ , Yellow

$5$ )

$\mathsf{P(Zero)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{0}}{\color{#007DDC}{5}}$	Substitute values

	$=$	$0$

$(c) 3/5$

$(d) 0$

Question 6 of 7

A six-sided dice has

$1$ dot placed on the sides where there should be

$2$ and

$3$ while all the other sides have not been changed. Find the probability of rolling the dice and getting:

$(a) 1$

$(b)$ an Odd number

$(c) 2$

Write fractions in the format “a/b”

$(a)$ (½, 1/2, 3/6, 0.5)

$(b)$ (⅔, 2/3, 4/6, 0.67)

$(c)$ (0/6, 0)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

$\mathsf{P(E)}=\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$

Addition Principle

If two or more events are joined by OR, their probabilities should be added.

$(a)$ Find the probability of rolling the dice and getting

$1$ .

favourable outcomes

$=$ $3$ (

$1,1,1$ )

total outcomes

$=$ $6$ (

$1,1,1,4,5,6$ )

$\mathsf{P(}1\mathsf{)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{3}}{\color{#007DDC}{6}}$	Substitute values

	$=$	$\frac{1}{2}$

$(b)$ Find the probability of rolling the dice and getting an Odd number of dots.

favourable outcomes

$=$ $4$ (

$1,1,1,5$ )

total outcomes

$=$ $6$ (

$1,1,1,4,5,6$ )

$\mathsf{P(Odd)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{4}}{\color{#007DDC}{6}}$	Substitute values

	$=$	$\frac{2}{3}$

$(c)$ Find the probability of rolling the dice and getting

$2$ .

favourable outcomes

$=$ $0$ (no side has

$2$ dots)

total outcomes

$=$ $6$ (

$1,1,1,4,5,6$ )

$\mathsf{P(}2\mathsf{)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{0}}{\color{#007DDC}{6}}$	Substitute values

	$=$	$0$

$(a) 1/2$

$(b) 2/3$

$(c) 0$

Question 7 of 7

A six-sided dice has an uneven weight which causes the side with

$4$ dots to have twice the chance of any other side. Find the probability of rolling this dice and getting:

$(a) 4$

$(b)$ an Even number

Write fractions in the format “a/b”

$(a)$ (2/7, 0.29)

$(b)$ (4/7, 0.57)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

$\mathsf{P(E)}=\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$

Addition Principle

If two or more events are joined by OR, their probabilities should be added.

$(a)$ Find the probability of rolling the dice and getting

$4$ .

favourable outcomes

$=$ $2$ (

$4,4$ )

total outcomes

$=$ $7$ (

$1,2,3,4,4,5,6$ )

$\mathsf{P(}4\mathsf{)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{2}}{\color{#007DDC}{7}}$	Substitute values

$(b)$ Find the probability of rolling the dice and getting an Even number of dots.

favourable outcomes

$=$ $4$ (

$2,4,4,6$ )

total outcomes

$=$ $7$ (

$1,2,3,4,4,5,6$ )

$\mathsf{P(Even)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{4}}{\color{#007DDC}{7}}$	Substitute values

$(a) 2/7$

$(b) 4/7$

Simple Probability 2

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Keep Going!

Probability Formula

Addition Principle

2. Question

Hint

Excellent!

Probability Formula

3. Question

Hint

Well Done!

Probability Formula

Addition Principle

4. Question

Hint

Nice Job!

Probability Formula

Addition Principle

5. Question

Hint

Fantastic!

Probability Formula

Addition Principle

6. Question

Hint

Well Done!

Probability Formula

Addition Principle

7. Question

Hint

Correct!

Probability Formula

Addition Principle

Quizzes