You got me, but it was phrased in the context of racing so I thought I'd sneak it in!
Good Job!
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01 Jul '20 22:09>
Here is another "probability" question "about racing".
For a 100-meter race, Adam’s race time ranges from 10-12 seconds, and Benjamin’s ranges from 11-13 seconds. Both times are independent and uniformly distributed.
If Adam and Benjamin run a 100-meter race together, what is the probability that Adam wins?
Also: The probability of a tie is again 0.
@joe-shmosaid Here is another "probability" question "about racing".
For a 100-meter race, Adam’s race time ranges from 10-12 seconds, and Benjamin’s ranges from 11-13 seconds. Both times are independent and uniformly distributed.
If Adam and Benjamin run a 100-meter race together, what is the probability that Adam wins?
Also: The probability of a tie is again 0.
If Adam runs sub 11 seconds he wins (that is 1/2 chance)
If Adam runs slower then he wins if Bob runs slower than 12 seconds. (That is 1/2 * 1/2 = 1/4 chance)
If the both run between 11 and 12 seconds they have evens chance of winning.
(1/2 * 1/2 * 1/2)
There is still an open "racing" probability question above if your interested.
LOL
Didn't hit post when I typed it earlier today!
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02 Jul '20 00:45>
@wolfgang59said If Adam runs sub 11 seconds he wins (that is 1/2 chance)
If Adam runs slower then he wins if Bob runs slower than 12 seconds. (That is 1/2 * 1/2 = 1/4 chance)
If the both run between 11 and 12 seconds they have evens chance of winning.
(1/2 * 1/2 * 1/2)
Total that all up 1/2 + 1/4 + 1/8 = 7/8
That is correct!
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02 Jul '20 00:46>
@wolfgang59said LOL
Didn't hit post when I typed it earlier today!
Ahh..so early to the party..just side tracked. 🙂
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02 Jul '20 00:47>1 edit
@wolfgang59said If Adam runs sub 11 seconds he wins (that is 1/2 chance)
If Adam runs slower then he wins if Bob runs slower than 12 seconds. (That is 1/2 * 1/2 = 1/4 chance)
If the both run between 11 and 12 seconds they have evens chance of winning.
(1/2 * 1/2 * 1/2)
@joe-shmosaid P.S. "Bob" is running in a different race!
Ha!
My teacher always said READ THE QUESTION CAREFULLY
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02 Jul '20 01:00>
Continuing with Racing Theme:
In order to determine the starting position of a racer in NASCAR time trials are performed where the racer make a series of laps around a track. Each racer is ranked according to the total average speed of the laps ( i.e total distance traveled over total time to complete the laps ).
Suppose a racer is performing a two lap time trial and their target average speed for the trial is 181 mph. On their first lap they suffer a spin out, and end up only averaging 90 mph. At what average speed must they travel over the final lap to achieve the target 181 mph average speed for both laps?
In order to determine the starting position of a racer in NASCAR time trials are performed where the racer make a series of laps around a track. Each racer is ranked according to the total average speed of the laps ( i.e total distance traveled over total time to complete the laps ).
Suppose a racer is performing a two lap time trial and ...[text shortened]... speed must they travel over the final lap to achieve the target 181 mph average speed for both laps?