Simple Probability 1

Question 1 of 7

Given that the range of probability of an event happening is

$0\leq\mathsf{P(E)}\leq1$ , enter the equivalent probability for each keyword below:

$(i)$ Certain

$(ii)$ Even Chance

$(iii)$ Impossible

Write fractions in the format “a/b”

$(i)$ Certain $=$ (1, 1/1, 100/100)

$(ii)$ Even Chance $=$ (½, 1/2, 0.5, 50/100)

$(iii)$ Impossible $=$ (0, 0/1, 0/100)

Incorrect

Range of Probability

$0\leq\mathsf{P(E)}\leq1$

$(i)$ Find the equivalent probability of being certain that an event will happen.

This also means a

$100%$ chance for an event to happen, which is equivalent to the highest possible value for a probability

certain

$=1$

$(ii)$ Find the equivalent probability of having an even chance that an event will happen.

This also means

$50%$ chance for an even to happen. An example is tossing a coin since there is an even chance for Heads or Tails to show up.

even chance

$=1/2$ or

$0.5$

$(iii)$ Find the equivalent probability for an event to be impossible.

This also means a

$0%$ chance for an event to happen, which is equivalent to the lowest possible value for a probability

impossible

$=0$

$(i) 1$

$(ii) 1/2$ or

$0.5$

$(iii) 0$

Question 2 of 7

Find the probability of tossing a normal coin and getting:

$(i)$ Heads

$(ii)$ Tails

Write fractions in the format “a/b”

$(i)$ (½, 1/2, 50/100, 0.5, 5/10)

$(ii)$ (½, 1/2, 50/100, 0.5, 5/10)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

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

$(i)$ Find the probability of getting Heads from the coin toss.

favourable outcomes

$=$ $1$ (Heads)

total outcomes

$=$ $2$ (Heads, Tails)

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

	$=$	$\frac{\color{#e65021}{1}}{\color{#007DDC}{2}}$	Substitute values

$(ii)$ Find the probability of getting Tails from the coin toss.

favourable outcomes

$=$ $1$ (Tails)

total outcomes

$=$ $2$ (Heads, Tails)

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

	$=$	$\frac{\color{#e65021}{1}}{\color{#007DDC}{2}}$	Substitute values

$(i) 1/2$

$(ii) 1/2$

Question 3 of 7

Find the probability of spinning the following spinners and getting:

$(i)$ Orange

$(ii)$ Pink

Write fractions in the format “a/b”

$(i)$ (½, 1/2, 2/4, 0.5)

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

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

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

$(i)$ Find the probability of getting Orange from the spinner.

favourable outcomes

$=$ $2$ (Orange)

total outcomes

$=$ $4$ (Orange, Blue, Orange, Yellow)

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

	$=$	$\frac{\color{#e65021}{2}}{\color{#007DDC}{4}}$	Substitute values

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

$(ii)$ Find the probability of getting Pink from the spinner.

favourable outcomes

$=$ $1$ (Pink)

total outcomes

$=$ $5$ (Pink, Green, Orange, Blue, Yellow)

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

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

$(i) 1/2$

$(ii) 1/5$

Question 4 of 7

A spinning barrel holds

$100$ tickets for a raffle. Jake bought

$10$ of those tickets, Emma bought

$5$ , and Dylan bought

$1$ . Find the probability that:

$(a)$ Jake will win

$(b)$ Emma will win

Write fractions in the format “a/b”

$(a)$ (1/10, 10/100, 0.1)

$(b)$ (1/20, 5/100, 10/200, 0.05)

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 that Jake will win.

favourable outcomes

$=$ $10$ (Jake bought

$10$ tickets)

total outcomes

$=$ $100$ (the barrel holds

$100$ tickets)

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

	$=$	$\frac{\color{#e65021}{10}}{\color{#007DDC}{100}}$	Substitute values

	$=$	$\frac{1}{10}$

$(b)$ Find the probability that Emma will win.

favourable outcomes

$=$ $5$ (Emma bought

$5$ tickets)

total outcomes

$=$ $100$ (the barrel holds

$100$ tickets)

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

	$=$	$\frac{\color{#e65021}{5}}{\color{#007DDC}{100}}$	Substitute values

	$=$	$\frac{1}{20}$

$(a) 1/10$

$(b) 1/20$

Question 5 of 7

A spinning barrel holds

$100$ tickets for a raffle. Jake bought

$10$ of those tickets, Emma bought

$5$ , and Dylan bought

$1$ . Find the probability that:

$(c)$ Dylan will win

$(d)$ None of them will win

Write fractions in the format “a/b”

$(c)$ (1/100, 0.01)

$(d)$ (84/100, 21/25, 0.84)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

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

$(c)$ Find the probability that Dylan will win.

favourable outcomes

$=$ $1$ (Dylan bought

$1$ ticket)

total outcomes

$=$ $100$ (the barrel holds

$100$ tickets)

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

	$=$	$\frac{\color{#e65021}{1}}{\color{#007DDC}{100}}$	Substitute values

$(d)$ Find the probability that none of them will win.

favourable outcomes

$=100-10-5-1=$ $84$ (tickets that were not bought by them)

total outcomes

$=$ $100$ (the barrel holds

$100$ tickets)

$\mathsf{P(none)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{84}}{\color{#007DDC}{100}}$	Substitute values

	$=$	$\frac{21}{25}$

$(c) 1/100$

$(d) 84/100$ or

$21/25$

Question 6 of 7

A spinning wheel has

$16$ sectors marked

$1$ -

$16$ . Each of these sectors corresponds to a ticket that can be bought and a lady named Jackie wants to buy some. Answer the following:

$(a)$ How many tickets should she buy to have a certain chance at winning?

$(b)$ How many tickets should she buy to have a

$50%$ chance at winning?

Write fractions in the format “a/b”

$(a)$ (16) tickets

$(b)$ (8, 16/2) tickets

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 number of tickets she should buy to have a certain chance at winning.

favourable outcomes

$=$ $x$ (number of tickets she should buy)

total outcomes

$=$ $16$ (the wheel has

$16$ sectors)

P(certain)

$=100%=1$

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

$1$	$=$	$\frac{\color{#e65021}{x}}{\color{#007DDC}{16}}$	Substitute values

$1$ $times16$	$=$	$x/16$ $times16$	Multiple both sides by $16$

$16$	$=$	$x$
$x$	$=$	$16$

$(b)$ Find the number of tickets she should buy to have a

$50%$ chance at winning.

favourable outcomes

$=$ $x$ (number of tickets she should buy)

total outcomes

$=$ $16$ (the wheel has

$16$ sectors)

P(50%)

$=1/2$

$\mathsf{P(}50\%\mathsf{)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

$1/2$	$=$	$\frac{\color{#e65021}{x}}{\color{#007DDC}{16}}$	Substitute values

$1/2$ $times16$	$=$	$x/16$ $times16$	Multiple both sides by $16$

$8$	$=$	$x$
$x$	$=$	$8$

$(a) 16$ tickets

$(b) 8$ tickets

Question 7 of 7

A spinning wheel has

$16$ sectors marked

$1$ -

$16$ . Each of these sectors corresponds to a ticket that can be bought and a lady named Jackie wants to buy some. Answer the following:

$(c)$ How many tickets should she buy to have a

$25%$ chance at winning?

$(d)$ What is the probability of her winning if she buys

$6$ tickets?

Write fractions in the format “a/b”

$(c)$ (4, 16/4) tickets

$(d)$ (⅜, 3/8, 6/16, 0.375, 0.38)

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Probability Formula

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

$(c)$ Find the number of tickets she should buy to have a

$25%$ chance at winning.

favourable outcomes

$=$ $x$ (number of tickets she should buy)

total outcomes

$=$ $16$ (the wheel has

$16$ sectors)

P(25%)

$=1/4$

$\mathsf{P(}25\%\mathsf{)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

$1/4$	$=$	$\frac{\color{#e65021}{x}}{\color{#007DDC}{16}}$	Substitute values

$1/4$ $times16$	$=$	$x/16$ $times16$	Multiple both sides by $16$

$4$	$=$	$x$
$x$	$=$	$4$

$(d)$ Find the probability of her winning if she buys

$6$ tickets.

favourable outcomes

$=$ $6$ (Jackie is about to buy

$6$ tickets)

total outcomes

$=$ $16$ (the wheel has

$16$ sectors)

$\mathsf{P(}6\mathsf{)}$	$=$	$\frac{\color{#e65021}{\mathsf{favourable\:outcomes}}}{\color{#007DDC}{\mathsf{total\:outcomes}}}$	Probability Formula

	$=$	$\frac{\color{#e65021}{6}}{\color{#007DDC}{16}}$	Substitute values

	$=$	$\frac{3}{8}$

$(c) 4$ tickets

$(d) 3/8$

Simple Probability 1

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Well Done!

Range of Probability

2. Question

Hint

Nice Job!

Probability Formula

3. Question

Hint

Excellent!

Probability Formula

4. Question

Hint

Fantastic!

Probability Formula

5. Question

Hint

Keep Going!

Probability Formula

6. Question

Hint

Correct!

Probability Formula

7. Question

Hint

Great Work!

Probability Formula

Quizzes