Challenge from my lecturer! Probability Question:

#1
I find this question extremal difficult, need some help!!!!!

7 runners entered the final 100m running contest. The track record for top finishing time is 9.90s, each runner finished time from previous 100m races are as follow (assumed they all preform steadily throughout the season):

Runner 1: 10.35s
Runner 2: 10.49s
Runner 3: 10.06s
Runner 4: 11.09s
Runner 5: 9.98s
Runner 6: 10.11s
Runner 7: 10.85s

1.Please provide the probability of each runner getting the gold medal.
2.Please provide the probability of each runner getting a medal (within top 3).
3.Please provide the probability of each runner getting the gold, silver & bronze medal.

The way I see this, runner 5 will win. But I am sure for him to get a gold medal will not be 100%. I can’t solve this question . Please help.
 
#5
Hi Karabiner,
Those are the speed record for the previous race only. Thanks


Hi Katxt,
I think you are right. The information may not be enough. May be the lecturer just want to provoke our thinking. I tried many way, but till don’t have an answer yet. Thanks