A pair of honest dice is rolled once. Find the expected value of the sum of the

Harlen Pritchard 2021-10-17 Answered
A pair of honest dice is rolled once. Find the expected value of the sum of the two numbers rolled.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Gennenzip
Answered 2021-10-18 Author has 96 answers

Below is sample space for sum of pair of dice:
S={2,3,4,5,6,7,8,9,10,11,12}
Evaluating probability of each event:
SumProbability21/3632/3643/3654/3665/3676/36
We know Expected value (E) is given by:
E=(p1x1)+(p2x2)+(p3x3)++(pNxN)
Evaluating expected value (E) of the sum of the two numbers rolled:
E=(2136)+(3236)+(4336)+(5436)+(6536)+(7636)
=2+6+12+20+30+42+40+36+30+22+1236
=25236
=7

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in