ChatterBank3 mins ago
Just For Fun - Eurovision Song Contest
5 Answers
Imagine it's the final jury vote at the Eurovision song contest with the UK two points ahead of Sweden.
The points from the last country to vote which is neither the UK or Sweden are still in the format of 1-8, 10 and 12. But a glitch has assigned them wrongly. The UK and Sweden both get points.
What are the chances that Sweden are ahead of the UK after the final vote? Expess the answer as a %
The points from the last country to vote which is neither the UK or Sweden are still in the format of 1-8, 10 and 12. But a glitch has assigned them wrongly. The UK and Sweden both get points.
What are the chances that Sweden are ahead of the UK after the final vote? Expess the answer as a %
Answers
prob UK 12 and Sweden winning = 0% prob UK 10 and Sweden winning = 0 prob UK 8 and Sweden winning (12) =1/10 * 1/9 (the Uk's 8 has already been allocated) = 1/90 prob UK 7 and Sweden winning (10,12) =1/10 * 2/9 = 2/90 prob UK 6 and Sweden winning (10,12) =1/10 *2/9 =2/90 prob UK 5 and Sweden winning (8,10,12) = 1/10 *3/9 = 3/90 prob UK 4 and Sweden winning ( 7, 8, 10, 12)= 1/ 10...
13:37 Sat 13th May 2023
prob UK 12 and Sweden winning = 0%
prob UK 10 and Sweden winning = 0
prob UK 8 and Sweden winning (12) =1/10 * 1/9 (the Uk's 8 has already been allocated) = 1/90
prob UK 7 and Sweden winning (10,12) =1/10 * 2/9 = 2/90
prob UK 6 and Sweden winning (10,12) =1/10 *2/9 =2/90
prob UK 5 and Sweden winning (8,10,12) = 1/10 *3/9 = 3/90
prob UK 4 and Sweden winning (7,8,10,12)=1/10 * 4/9 = 4/90
prob UK 3 and Sweden winning (6,7,8,10,12)=1/10 * 5/9 = 5/90
prob UK 2 and Sweden winning (5,6,7,8,10,12)=1/10 * 6/9 = 6/90
prob UK 1 and Sweden winning (4,5,6,7,8,10,12)=1/10 * 7/9 = 7/90
Answer therefore = (1+2+2+3+4+5+6+7)/90
= 30/90 = 1/3
prob UK 10 and Sweden winning = 0
prob UK 8 and Sweden winning (12) =1/10 * 1/9 (the Uk's 8 has already been allocated) = 1/90
prob UK 7 and Sweden winning (10,12) =1/10 * 2/9 = 2/90
prob UK 6 and Sweden winning (10,12) =1/10 *2/9 =2/90
prob UK 5 and Sweden winning (8,10,12) = 1/10 *3/9 = 3/90
prob UK 4 and Sweden winning (7,8,10,12)=1/10 * 4/9 = 4/90
prob UK 3 and Sweden winning (6,7,8,10,12)=1/10 * 5/9 = 5/90
prob UK 2 and Sweden winning (5,6,7,8,10,12)=1/10 * 6/9 = 6/90
prob UK 1 and Sweden winning (4,5,6,7,8,10,12)=1/10 * 7/9 = 7/90
Answer therefore = (1+2+2+3+4+5+6+7)/90
= 30/90 = 1/3
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