Question 1197440
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I will not solve anything in this problem.

I only will make necessary editing to exclude explicit deficiencies.



<pre>
    There is a {{{highlight(cross(gambling))}}} game where equal-weight balls with numbers ranging from 1 to 15 are placed 
    inside a tambiolo and mixed. Without replacement, three balls {{{highlight(cross(are_chosen_at_random_and_are_then))}}} are randomly chosen one by one.

    a. Mr. Lewis always bets that none of the 3 balls will include consecutive {{{highlight(cross(digits))}}} <U>numbers</U> in the outcome. 
       How likely is it that something will occur?
</pre>


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This editing in &nbsp;NECESSARY: &nbsp;otherwise, &nbsp;this wording does not fit into any gate.



Also, &nbsp;the meaning of the question &nbsp;" How likely is it that something will occur? " &nbsp;is unclear.


What exactly &nbsp;" will occur " ? &nbsp;&nbsp;What is &nbsp;" something " &nbsp;in this question ?

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3 balls with consecutive numbers will occur or an opposite case ?


Edwin calculated the probability that consecutive numbers do not occur;

but the question can be interpreted as &nbsp;" find the probability that consecutive numbers will occur ".



So, &nbsp;the meaning of your question is dark.



This post is a champion among other posts coming to the forum&nbsp;: &nbsp;&nbsp;the question can be read, &nbsp;interpreted and understood in two opposite ways.



Please show my notes to your professor and discuss them with him (with her).



If you personally know the person who created this post, &nbsp;then please pass to him (or to her) my opinion 

that such writing is &nbsp;NOT &nbsp;ALLOWED &nbsp;in Math.