Since we know that the customer ordered a hot drink, let's find the total amount of customers that ordered a hot drink:
[tex]\text{total hot}=5+48+22=75[/tex]Now, to find the probability of a customer ordering a large, given that the customer ordered a hot drink, we just need to divide the number of clients that ordered a large hot drink by the number of clients that ordered a hot drink:
[tex]P(\text{large}|\text{hot)}=\frac{\text{large hot}}{\text{total hot}}=\frac{22}{75}=0.2933=29.33\text{\%}[/tex]Rounding to the nearest percent, we have a probability of 29%.
