Andymath.com features free videos, notes, and practice problems with answers! Printable pages make math easy. Are you ready to be a mathmagician?
Practice Problems
\(\textbf{1)}\) Two dice are rolled, find P (sum \(=6\)) 
\(\textbf{2)}\) Two dice are rolled, find P (sum \(=2\))
\(\textbf{3)}\) Two dice are rolled, find P (sum\(=11\))
\(\textbf{4)}\) Two dice are rolled, find P (sum is even)
\(\textbf{5)}\) Two dice are rolled, find P (sum\(\gt8\))
\(\textbf{6)}\) Two dice are rolled, find P (sum \(\le8\))
\(\textbf{7)}\) Two dice are rolled, find P (\(6\lt\) sum \(\le 9\) )
\(\textbf{8)}\) Two dice are rolled, find P (sum\(=6|\) sum is even)
\(\textbf{9)}\) Two dice are rolled, find P (sum is even\(|\)sum\(=6\))
\(\textbf{10)}\) Two dice are rolled, find P (rolling at least one 5)
See Related Pages\(\)
\(\bullet\text{ Statistics Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Probability with Coin Tosses}\)
\(\,\,\,\,\,\,\,\,\text{Prob(3 heads)}=\frac{1}{8}\)
\(\bullet\text{ Probability with Marbles }\)
\(\,\,\,\,\,\,\,\,\text{Prob(3 red)}=\frac{7}{20}…\)
\(\bullet\text{ Probability with Dice}\)
\(\,\,\,\,\,\,\,\,\text{Prob(Two 6’s)}=\frac{1}{36}…\)
\(\bullet\text{ Probability with Round Tables}\)
\(\,\,\,\,\,\,\,\,(n-1)!…\)
\(\bullet\text{ Probability with Poker Hands}\)
\(\,\,\,\,\,\,\,\,\text{P(Full House)}=…\)
In Summary
Probability is a measure of how likely an event is to occur. The probability of rolling a specific number on a die is 1/6, since there are 6 possible outcomes (numbers 1-6) and each outcome is equally likely to occur.
If you are rolling 2 dice, there are 36 possible outcomes. The sums of these outcomes range from 2-12, with varying probabilities for each sum. If you use a table like the one on the top of this page, you can easily see where all the various sums and their distributions come from.
A lot of games and board games are designed around this distribution of different sums of 2 dice. Craps for example, gives greater returns when people bet on less likely outcomes and win.
Probability is useful tool for analyzing possible outcomes of situations. You can make better predictions and decisions if you understand the likelihood of certain events occurring. Using dice is a great way to introduce people to more complex probability concepts. By calculating the probabilities of different outcomes,
About Andymath.com
Andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. If you have any requests for additional content, please contact Andy at tutoring@andymath.com. He will promptly add the content.
Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.
Visit me on Youtube, Tiktok, Instagram and Facebook. Andymath content has a unique approach to presenting mathematics. The clear explanations, strong visuals mixed with dry humor regularly get millions of views. We are open to collaborations of all types, please contact Andy at tutoring@andymath.com for all enquiries. To offer financial support, visit my Patreon page. Let’s help students understand the math way of thinking!
Thank you for visiting. How exciting!