SOLUTION: Please Help Me With This Question. Thanks! A set contains the whole numbers 2 through 15 inclusive. One number is selected at random.

Question 212159: Please Help Me With This Question. Thanks!
A set contains the whole numbers 2 through 15 inclusive. One number is selected at random. What is the probability of selecting a number less than 5 or more than 10? (Reduce.)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
numbers are 2 through 15.
whole numbers.
inclusive.
p(<5) or > 10
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you have number 2,3,4, and you have numbers 11,12,13,14,15 that you want the probability of drawing.
the total set is 14 number from 2 through 15.
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you have one draw from the pot.
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the probability of getting a 2 or 3 or 4 is 3 out of 14.
the probability of getting an 11 or 12 or 13 or 14 or 15 is 5 out of 14.
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the probability of getting A or B is the probability of getting A plus the probability of getting B.
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This equals 3 out of 14 plus 5 our of 14 = 8 out of 14.
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8 out of 14 can be reduced to 4 out of 7.
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The probability is 4/7 = .571428571 rounded to 57%.

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