OU blog

Personal Blogs

Richard Walker

Solution to Probability Question

Visible to anyone in the world
Edited by Richard Walker, Sunday, 24 Dec 2023, 16:02

This is the solution to the problem posted at https://learn1.open.ac.uk/mod/oublog/viewpost.php?post=279732

When two dice are rolled there are 6 x 6 = 36 possible outcomes, all equally likely. However the information that at least one has come up six narrows down the number of possibilities to the 11 shown as crosses below.

1 2 3 4 5 6
1 x
2 x
3 x
4 x
5 x
6 x x x x x x

Of these both dice show 6 in only one case, so the required probability is 1/11 ~  9%.                   
Share post