P(not 13) = 9/10
Explanation:
Given:
Numbers from 12 to 22 drawn at random
To find:
P(not 13)
List of the numbers from 12 to 22 = 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
Probability of drawing number 13 = number times 13 occurred/total numbers
[tex]Pr(13)\text{ = }\frac{\text{1}}{10}[/tex]Probability of not drawing 13 = Pr(not 13)
[tex]\begin{gathered} Pr(not\text{ 13\rparen = 1 - pr\lparen13\rparen} \\ Pr(not\text{ 13\rparen = 1 - }\frac{1}{10} \\ LCM=\text{ 10} \\ Pr(not\text{ 13\rparen = }\frac{1(10)\text{ - 1}}{10}\text{ = }\frac{10-1}{10} \\ \\ Pr(not\text{ 13\rparen= 9/10} \end{gathered}[/tex]