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) The numbers 1 through 10 are put in one bag. The numbers 5 through 10 are put in another bag. When you pick one number from each bag, what is the probability you get the same number? P(same number) = NOTE: Type your answer as a fraction in simplest form OR a decimal rounded to the nearest thousandth OR a percent rounded to the nearest tenth. Choose one form to type

 Feb 26, 2022
 #1
avatar+23183 
+2

The numbers  1, 2, 3, and 4  are in the first bag but not the second bag.

So, if you draw any of these numbers from the first bag, you can't get a match from the second bag.

The probability of never getting a match is  4/10.

 

However, if you draw a  5, 6, 7, 8, 9, or 10  from the first bag, you can get a match from the second bag.

The probability that you will get one of these numbers from the first bag is  6/10.

After choosing one of these six numbers, there will be a  1  in  6  chance to draw the same number from the second bag.

 

So, the probability of success will be:  6/10 x 1/6  =  ........

 Feb 26, 2022
 #2
avatar+36417 
+1

6 out of 10 match a marble in the second bag   so     6/10

now there are 6 x 6 possibles   with  6 being a match   6/36

 

6 / 10  x  6/36 = 1/10

 Feb 26, 2022

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