218k views
1 vote
If you roll two number cubes, what is the probability of their sum being seven or higher?

User Benvorth
by
9.0k points

2 Answers

3 votes
27 rolls of being 7 or higher
User Masoud Mokhtari
by
7.7k points
3 votes
1) Number of possible outcomes when 2 cubes are rolled = n^2 = 6^2 = 36
Possible outcomes for a sum = 7 are 6 as detailed below
(1,6) (2,5) (3,4) (4,3) (5,2) (6,1) = 6
Possible outcomes for a sum = 11 are 2 as detailed below
(5,6) (6,5) = 2
Required probability = 6/36 + 2/36 = 8/36 = 0.22222

2) Number of possible outcomes when a cube and a coin are tossed = m*n = 6*2 = 12
Possible outcomes for a tail and 6 = 1
Required probability = 1/12 = 0.08333

3) Possible outcomes for a sum =3 are 2 as detailed below
(1,2) (2,1) = 2
Possible outcomes for a sum = 8 are 5 as detailed below
(2,6) (3,5) (4,4) (5,3) (6,2) = 5
Required probability = 2/36 + 5/36 = 7/36 = 0.19444
User Andrii Tsarenko
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories