Today Puzzle #624
Puzzle No. 624鈥� Tuesday 3 December
The Edinburgh Seven were matriculated at the University of Edinburgh in 1869 and were the first group of female students to do so at a British university, but they were ultimately prevented from graduating as doctors. Their campaign resulted in the 1877 legislation to ensure that women could study at university. My friend and I decide to invent a ‘7’ themed game in their honour, where the aim is to obtain a total score of ‘7’ across the rolls of three dice. If my reliable friend rolls the three dice under her hand, and tells me that at least one is a ‘4’, how likely is it that the total score obtained on all three dice is a ‘7’?
Today’s #PuzzleForToday has been set by Mary Llwellyn, a maths PHD student from Edinburgh University
Click here for the answer
To roll no ‘4’s there are 5 choices for each die, so there are 5 cubed = 125 possibilities from the 216 ways of rolling three dice. Therefore there are 216 - 125 = 91 ways of rolling at least one 4. Of those, 6 are ‘4’, ‘2’, ‘1’ in some order, giving a probability of 6/91.
-
![]()
Puzzle for Today 鈥� Index
Find all of the currently available Puzzles for Today, with answers.
More fiendish brain-teasers and quizzes on 麻豆官网首页入口 Radio...
-
![]()
From autumn leaves to the magic roundabout: test yourself with our favourite quizzes.
-
![]()
We asked the intelligence agency to set our listeners a code-cracking challenge... Can you solve it?
-
![]()
Quiz: How many of these Mastermind music questions can you answer?
Here's a chance to find out whether your specialist subject on Mastermind could be the entire history of music.
-
![]()
Six conundrums to grapple with, including the Riddle of the Sphinx. Try not to forfeit your life...
