The numbers 1 through 10 are put in one bag, and the numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number?
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Given : The numbers 1 through 10 are put in one bag, and the numbers 5 through 14 are put in another bag.
you pick one number from each bag
To Find : the probability of getting the same number
Solution:
The numbers 1 through 10 can be selected in 10 ways
numbers 5 through 14 can be selected in 10 ways
Total ways = 10 * 10 = 100
get the same number = { (5 ,5) , (6 , 6) , (7 , 7) , ( 8 , 8) , ( 9 , 9) , (10 , 10) }
= 6 ways
Probability of getting the same number = 6 /100
= 3/50
= 0.06
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