Question 1194257
.
1. Suppose in a group of 500 men, it is found that 210 like to jog, 258 play badminton, 216
maintain a healthy eating habit, 122 jog and play badminton, 83 maintain a healthy eating habit
and play badminton, 97 jog and practice healthy eating habits and 52 involve all three practices,
find the probability that the man:
a. Jog but does not eat healthily
b. Eats healthily and plays badminton but does not jog.
c. Does not jog or eat healthily
(show the above given in Venn Diagram)
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            In this my post,  I will answer questions  (a)  and  (b),  ONLY.



<H3>a. Jog but does not eat healthily</H3>

<pre>
This set "Jog but does not eat healthily" is the set of those who like jog (210 persons, given) 
{{{highlight(MINUS)}}} the intersection of those who jog  AND  eat healthy (i.e. minus 97).


    So, the  <U>ANSWER to question (a)</U>  is  210 - 97 = 113.
</pre>

<H3>b. Eats healthily and plays badminton but does not jog.</H3>

<pre>
This set "Eats healthily and plays badminton but does not jog" is the set of those who maintain a healthy eating habit
and play badminton (83 persons, given) {{{highlight(MINUS)}}} the triple intersection of those who involve all three practices 
(i.e. minus 52).


    So, the  <U>ANSWER to question (b)</U>  is  83 - 52 = 31.
</pre>