If two standard dice are rolled. What is the probability that the total of two dice is less than 6?

less than 6 would not include 6 so [ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ] | ‎ ‎ 1-1‎ ‎ ‎ 2-1 ‎ ‎ 3-1 ‎ ‎ 4-1 ‎ ‎ | | ‎ ‎ 1-2 ‎ ‎ 2-2 ‎ ‎ 3-2 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎| | ‎ ‎ 1-3 ‎ ‎ 2-3 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ | | ‎ ‎ 1-4 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎| [ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ] Length=10 total =6x6 ⁂ p()=10/36

A card is drawn from a standard deck of 52 cards. Find the probability that is a.) a heart or a face card. b.) a jack or an ace card c.) a 10 or a spade.

I am just warning you, I don't know much about cards that much, so my numbers may be off. a. there are 13 heart cards and 12 face cards (aces aren't faces, right?), of which 3 are repeated, so 13+12-3 = 22/52 = 11/26 b. there are 4 jacks and 4 aces, so 4+4 = 8/52 = 4/26 = 2/13 c. there are 4 tens and 13 spades, and one 10 is repeated, so 4+13-1 = 16/52 = 8/26 = 4/13 I hope that helps!

Can't you multiply the possibility(fraction) with the the same numerator or denominator to get a different but equivalent answer? Example: 3/4 chance times 3/3(numerator) equals 9/12. At my school, they say you can multiply fractions with the same numerator/denominator, but I haven't taken probability yet in my grade.

Yes you can multiply probabilities with fractions that are equal to one. We usually want the fraction in the simpliest form though.

what's the probability I wont throw my computer because of khan academy?

hmmmmmm...using the formula P(H) i think ur chances would be 100%…. yes yes i believe that should be correct

does probability always have to be written like a fraction? How do you know when to write it as a percentage?

Usually, the question concerning probability should specify if they want either fractions or percentages. Here on KA, you can tell if they're asking for a percentage if you see a % sign by the answer box, while for fractions / decimals a small dialogue box will pop up after you click on the answer box telling you which form to put it in. (I've also seen them state which form to use in italics right after the question.) Hope this helps!😀

If there were 3 black dogs,4 brown dogs,and 2 white dog what would happen if You took 2 brown dogs away.

Um...there would be 7 dogs instead of 9. And there would only be 2 brown dogs now. Which is equal to the number of white dogs. Or is there a more complex reason to this? I don't know. Anyway I hope this helps.

Main content

Get ready for Precalculus

Course: Get ready for Precalculus > Unit 8

Lesson 1: Basic theoretical probability

Probability: the basics

Google Classroom

Explore what probability means and why it's useful.

Probability is simply how likely something is to happen.

Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

View all of Khan Academy’s lessons and practice exercises on probability and statistics.

The best example for understanding probability is flipping a coin:

There are two possible outcomes—heads or tails.

What’s the probability of the coin landing on Heads? We can find out using the equation P, left parenthesis, H, right parenthesis, equals, question mark.You might intuitively know that the likelihood is half/half, or 50%. But how do we work that out? Probability =

In this case:

Probability of an event = (# of ways it can happen) / (total number of outcomes)

P(A) = (# of ways A can happen) / (Total number of outcomes)

Example 1

There are six different outcomes.

What’s the probability of rolling a one?

What’s the probability of rolling a one or a six?

Using the formula from above:

What’s the probability of rolling an even number (i.e., rolling a two, four or a six)?

Tips

The probability of an event can only be between 0 and 1 and can also be written as a percentage.
The probability of event A is often written as P, left parenthesis, A, right parenthesis.
If P, left parenthesis, A, right parenthesis, is greater than, P, left parenthesis, B, right parenthesis, then event A has a higher chance of occurring than event B.
If P, left parenthesis, A, right parenthesis, equals, P, left parenthesis, B, right parenthesis, then events A and B are equally likely to occur.

Next step:

Practice basic probability skills on Khan Academy —try our stack of practice questions with useful hints and answers!

Or, watch Sal explain the basics of probability

Khan Academy video wrapper

Intro to theoretical probabilitySee video transcript

or go through an example: picking marbles from a bag.

Khan Academy video wrapper

Simple probability: yellow marbleSee video transcript

View all of Khan Academy’s lessons and practice exercises on probability and statistics here.

Want to join the conversation?

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Wendy Sugimura
Posted 8 years ago. Direct link to Wendy Sugimura's post “If two standard dice are ...”
If two standard dice are rolled. What is the probability that the total of two dice is less than 6?
Button navigates to signup pageComment on Wendy Sugimura's post “If two standard dice are ...”
(25 votes)
Answer
- Rhyss
  Posted 5 months ago. Direct link to Rhyss's post “less than 6 would not inc...”
  less than 6 would not include 6 so
  [ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ]
  | ‎ ‎ 1-1‎ ‎ ‎ 2-1 ‎ ‎ 3-1 ‎ ‎ 4-1 ‎ ‎ |
  | ‎ ‎ 1-2 ‎ ‎ 2-2 ‎ ‎ 3-2 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎|
  | ‎ ‎ 1-3 ‎ ‎ 2-3 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ |
  | ‎ ‎ 1-4 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎|
  [ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ]
  
  Length=10
  total =6x6
  
  ⁂ p()=10/36
  Button navigates to signup page
  (8 votes)
bgljade
Posted 6 years ago. Direct link to bgljade's post “A card is drawn from a st...”
A card is drawn from a standard deck of 52 cards. Find the probability that is
a.) a heart or a face card.
b.) a jack or an ace card
c.) a 10 or a spade.
Button navigates to signup pageButton navigates to signup page
(11 votes)
Answer
- Avinash Athota
  Posted 6 years ago. Direct link to Avinash Athota's post “I am just warning you, I ...”
  I am just warning you, I don't know much about cards that much, so my numbers may be off.
  a. there are 13 heart cards and 12 face cards (aces aren't faces, right?), of which 3 are repeated, so 13+12-3 = 22/52 = 11/26
  b. there are 4 jacks and 4 aces, so 4+4 = 8/52 = 4/26 = 2/13
  c. there are 4 tens and 13 spades, and one 10 is repeated, so 4+13-1 = 16/52 = 8/26 = 4/13
  I hope that helps!
  Button navigates to signup page
  (26 votes)
Jim
Posted 2 years ago. Direct link to Jim's post “Can't you multiply the po...”
Can't you multiply the possibility(fraction) with the the same numerator or denominator to get a different but equivalent answer?
Example: 3/4 chance times 3/3(numerator) equals 9/12. At my school, they say you can multiply fractions with the same numerator/denominator, but I haven't taken probability yet in my grade.
Button navigates to signup pageButton navigates to signup page
(4 votes)
Answer
- Andrew H.
  Posted 2 years ago. Direct link to Andrew H.'s post “Yes you can multiply prob...”
  Yes you can multiply probabilities with fractions that are equal to one. We usually want the fraction in the simpliest form though.
  Button navigates to signup page
  (4 votes)
Trin
Posted 2 years ago. Direct link to Trin's post “does probability always h...”
does probability always have to be written like a fraction? How do you know when to write it as a percentage?
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
- green_ninja
  Posted 2 years ago. Direct link to green_ninja's post “Usually, the question con...”
  Usually, the question concerning probability should specify if they want either fractions or percentages. Here on KA, you can tell if they're asking for a percentage if you see a % sign by the answer box, while for fractions / decimals a small dialogue box will pop up after you click on the answer box telling you which form to put it in. (I've also seen them state which form to use in italics right after the question.)
  
  Hope this helps!😀
  Comment on green_ninja's post “Usually, the question con...”
  (7 votes)
kira.o'brien
Posted 15 days ago. Direct link to kira.o'brien's post “what's the probability I ...”
what's the probability I wont throw my computer because of khan academy?
Button navigates to signup pageComment on kira.o'brien's post “what's the probability I ...”
(3 votes)
Answer
- toni
  Posted 15 days ago. Direct link to toni's post “hmmmmmm...using the formu...”
  hmmmmmm...using the formula P(H) i think ur chances would be 100%…. yes yes i believe that should be correct
  Button navigates to signup page
  (2 votes)
lpalmer22
Posted 5 years ago. Direct link to lpalmer22's post “If there were 3 black dog...”
If there were 3 black dogs,4 brown dogs,and 2 white dog what would happen if You took 2 brown dogs away.
Button navigates to signup pageComment on lpalmer22's post “If there were 3 black dog...”
(2 votes)
Answer
- Nethra
  Posted a year ago. Direct link to Nethra's post “Um...there would be 7 dog...”
  Um...there would be 7 dogs instead of 9. And there would only be 2 brown dogs now. Which is equal to the number of white dogs. Or is there a more complex reason to this? I don't know. Anyway I hope this helps.
  Comment on Nethra's post “Um...there would be 7 dog...”
  (4 votes)
lpfirth
Posted 2 months ago. Direct link to lpfirth's post “Heres is a question I am ...”
Heres is a question I am stuck on that's on my study guide:

If a balanced tetrahedron with faces 1,2,3,4 is rolled twice, find the probability that the Sum is prime.

It also asks to find the probability that a 3 is rolled on at least one of the rolls and I think I got the correct answer, but I'm not sure can you help me double-check?
Button navigates to signup pageComment on lpfirth's post “Heres is a question I am ...”
(3 votes)
Answer
Isaac 🤠
Posted 3 months ago. Direct link to Isaac 🤠's post “im hungry 🍞”
im hungry 🍞
Button navigates to signup pageComment on Isaac 🤠's post “im hungry 🍞”
(3 votes)
Answer
- LennyH
  Posted a month ago. Direct link to LennyH's post “me too😁”
  me too😁
  Button navigates to signup page
  (1 vote)
Peter V. 0_0
Posted 6 months ago. Direct link to Peter V. 0_0's post “Khan Buttcademy deleted m...”
Khan Buttcademy deleted my previous comment, I'm on to you Mr. Academy
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(2 votes)
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Peter V. 0_0
Posted 6 months ago. Direct link to Peter V. 0_0's post “Math is l ame, boring, an...”
Math is l ame, boring, and s tupid, I rather have my f oot run over than do math.
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(2 votes)
Answer