Two friends race against each other in 100-meter and 800-meter races. Of the 200 races they ran this year, the wins, losses, and

Question

1 month ago

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Two friends race against each other in 100-meter and 800-meter races. Of the 200 races they ran this year, the wins, losses, and

ties are shown below.
100 meter (Event D) 800 meter (Event E)
A won the race (Event A) 30 50
B won the race (Event B)60 25
A and B tied (Event T)10 25
What percentage of all the races are ties? If someone wins the race today, is it more likely for A to win or B to win? How much more likely?

Mathematics

1 answer:

zzz [12.3K] · Answer 1 · 2026-03-31T11:37:29+03:00

1. <span>What fraction of all races result in ties?
The probability of a tie in a 100m race is 10% and in an 800m race it’s 25%. If the 200 races are evenly split, there would be 100 races each for both distances. </span>The total occurrences of ties would be:
(100*10% + 100*25%)/ 200= 35/200= 17.5%

2. If one racer emerges victorious today, is A or B more likely to win subsequently? To what extent? The events are independent, implying the outcome of one does not affect the other. This signifies that the likelihood remains unchanged; no competitor becomes more likely to prevail in the next race.