Math

QuestionWhich events include selecting sprinter 1: SS, DD, EE, or OO? Choose all that apply.

Studdy Solution

STEP 1

Assumptions1. The track team contains sprinters numbered1 to5 and distance runners numbered1 and. . istheeventofselectingasprinter.<br/>3. is the event of selecting a sprinter.<br />3. is the event of selecting a distance runner.
4. istheeventofselectinganevennumberedrunner.<br/>5. is the event of selecting an even numbered runner.<br />5. is the event of selecting an odd numbered runner.

STEP 2

We need to identify which events include the outcome of selecting sprinter number1.

STEP 3

First, let's consider the event ,whichistheeventofselectingasprinter.Sincesprinternumber1isasprinter,selectingsprinternumber1isanoutcomeofevent, which is the event of selecting a sprinter. Since sprinter number1 is a sprinter, selecting sprinter number1 is an outcome of event .

STEP 4

Next, let's consider the event ,whichistheeventofselectingadistancerunner.Sincesprinternumber1isnotadistancerunner,selectingsprinternumber1isnotanoutcomeofevent, which is the event of selecting a distance runner. Since sprinter number1 is not a distance runner, selecting sprinter number1 is not an outcome of event .

STEP 5

Then, let's consider the event ,whichistheeventofselectinganevennumberedrunner.Sincesprinternumber1isnotevennumbered,selectingsprinternumber1isnotanoutcomeofevent, which is the event of selecting an even numbered runner. Since sprinter number1 is not even numbered, selecting sprinter number1 is not an outcome of event .

STEP 6

Finally, let's consider the event ,whichistheeventofselectinganoddnumberedrunner.Sincesprinternumber1isoddnumbered,selectingsprinternumber1isanoutcomeofevent, which is the event of selecting an odd numbered runner. Since sprinter number1 is odd numbered, selecting sprinter number1 is an outcome of event .
So, selecting the sprinter numbered1 is an outcome of the events and and .

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