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Loser66
 one year ago
Sofia and Tess will each randomly choose one of the 10 integers from 1 to 10. What is the probability that neither integer chosen will be the square of the other?
Please, help
Loser66
 one year ago
Sofia and Tess will each randomly choose one of the 10 integers from 1 to 10. What is the probability that neither integer chosen will be the square of the other? Please, help

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0here are our possible combinations where one is the square of the other: \((1,1),(2,4),(4,2),(3,9),(9,3)\) so there are \(10^25=95\) such combinations that are not of this form, meaning there's a \(95/10^2=0.95\) probability

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0I don't get it!! where does 10^2 come from?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there are 10 choices for Sofia, 10 independent choices for Tess, making a total of \(10\cdot 10=10^2=100\) possible ways that Sofia and Tess choose

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0That is they have 2 set of integers? Is it not that there is just 10 numbers from 1 to 10 and if Sofia pick 1 then 1 will not be on the fool anymore?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0I think of the situation: only 24 and 39 are the forms we have to find the probability of them, then take 1 minus that probability I meant the probability of choosing 2 or 3 of Sofia is 1/5, and under that condition, the probability of choosing 4 or 9 of Tess is 1/5 and we manipulate more.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if they choose from the same set, then there will only be \(10\cdot 9\) possibilities and only \((2,4),(4,2),(3,9),(9,3)\) will be on the table, so \(904=86\) giving a probability of \(86/90\approx 0.956\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0I got you. I think the last comment is best fit. Thank you so much. I got it now
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