Answer: [tex]\dfrac{1}{7}.[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number of candies without nuts.
Then, the number of candies with nuts = [tex]6x[/tex]
Total number of candies in box = [tex]6x+x=7x[/tex]
Now , the probability that Johnny pulled out a candy without nuts will be :
[tex]\dfrac{x}{7x}=\dfrac{1}{7}\ \ \ [\text{cancel x from both numerator and denominator.}][/tex]
Hence, the probability that Johnny pulled out a candy without nuts is [tex]\dfrac{1}{7}.[/tex]
