Simple Probability 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 7 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
- 7
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- Answered
- Review
-
Question 1 of 7
1. Question
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)` ImpossibleWrite fractions in the format “a/b”-
`(i)` Certain `=` (1, 1/1, 100/100)`(ii)` Even Chance `=` (1/2, 0.5, 50/100)`(iii)` Impossible `=` (0, 0/1, 0/100)
Hint
Help VideoCorrect
Well Done!
Incorrect
Help VideoRange 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 probabilitycertain`=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 probabilityimpossible`=0``(i) 1``(ii) 1/2` or `0.5``(iii) 0` -
-
Question 2 of 7
2. Question
Find the probability of spinning the following spinners and getting:
`(i)` Orange
`(ii)` PinkWrite fractions in the format “a/b”-
`(i)` (1/2, 2/4, 0.5)`(ii)` (1/5, 0.2)
Hint
Help VideoCorrect
Excellent!
Incorrect
Help VideoProbability 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 3 of 7
3. Question
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 winWrite fractions in the format “a/b”-
`(c)` (1/100, 0.01)`(d)` (84/100, 21/25, 0.84)
Hint
Help VideoCorrect
Keep Going!
Incorrect
Help VideoProbability 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 4 of 7
4. Question
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)` (3/8, 6/16, 0.375, 0.38)
Hint
Help VideoCorrect
Great Work!
Incorrect
Help VideoProbability 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` -
-
Question 5 of 7
5. Question
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)` BlueWrite fractions in the format “a/b”-
`(a)` (1/2, 180/360, 0.5)`(b)` (1/9, 40/360, 0.11)
Hint
Help VideoCorrect
Excellent!
Incorrect
Help VideoProbability 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 6 of 7
6. Question
Given the spinner below, find the probability of the arrow landing on:
`(a)` Pink `1``(b)` an Even numberWrite fractions in the format “a/b”-
`(a)` (1/5, 0.2)`(b)` (2/5, 0.4)
Hint
Help VideoCorrect
Nice Job!
Incorrect
Help VideoProbability 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 7 of 7
7. Question
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 numberWrite fractions in the format “a/b”-
`(a)` (2/7, 0.29)`(b)` (4/7, 0.57)
Hint
Help VideoCorrect
Correct!
Incorrect
Help VideoProbability 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` -
Quizzes
- Simple Probability 1
- Simple Probability 2
- Simple Probability 3
- Simple Probability 4
- Complementary Probability 1
- Compound Events 1
- Compound Events 2
- Venn Diagrams (Non Mutually Exclusive)
- Independent Events 1
- Independent Events 2
- Dependent Events (Conditional Probability)
- Probability Tree (Independent)
- Probability Tree (Dependent)