EXPLANATION
Let's see the facts:
Number of small drinks ---> 75 coupons
Number of medium drinks --> 125 coupons
Number of large drinks --> 150 coupons
So, the probability that the first customer pull a coupon from the box got a medium drink coupon is:
[tex]P=\frac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}}[/tex]
The total number of possible outcomes is 75+125+150=350 coupons
Medium drink favourable outcomes is equal to 125 coupons
[tex]P=\frac{125}{350}=\frac{5}{14}[/tex]
The answer is 5/14