• anonymous
Two numbers are randomly selected on a number line numbered 1 through 9. The same number can be chosen twice. What is the probability that both numbers are greater than 6? 19 12 13 16
  • Stacey Warren - Expert
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  • katieb
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  • Owlcoffee
I'm not the best when it comes to probability but I think I can solve this. First of all, we have to calculate al lthe possible outcomes, these being all the possible permutations of selections, these include the double-scenarios. So, the possible outcomes are the ordered pairs we can form : \[(1,1)-(1,2)-(1,3)-...-(9,1)-(9,2)-...(9,9)\] This means there are \(9^2\) possible outcomes of this scenario BUT under the given conditions we will have to establish all the scenarios where the numbers will be greater than 6, this means from 6 to 9 there are three numbers and all the permutations possible are \(3^2\). Let's call it the probability "P" and it will be composed by the division of the allowed permutations with the entirety of all the possible outcomes: \[P=\frac{ 3^2 }{ 9^2 }\] And you should be able to take over from here.
  • anonymous
thank you!

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