Question

The only soft-drink flavours available at a party were cola and
raspberry.
In total, twenty six soft-drinks were consumed.
9 guests had one raspberry drink only, 13 guests had one cola
drink only and the remaining guests had one drink of each flavour.
a) How many guests were there?
b)
What is the probability that a randomly chosen party guest had:
(i) a cola drink
(ii)
a raspberry drink
(iii) both a raspberry and cola drink?

1. The number of guests that were at the party is 26. This was illustrated in the probability.

### How to compute the probability?

From the information, it was stated that twenty six soft-drinks were consumed. Therefore, it implies that there were 26 people.
From the information, 9 guests had raspberry and 13 had cola while the remaining was shared equally. Therefore, the raspberry consumed will be 11 and 15 cola were drank.
The probability that a randomly chosen party guest had a cola drink will be:
= 15/26
The probability that a randomly chosen party guest had a raspberry drink will be:
= 11/26
The probability of the people who had both a raspberry and cola drink will be 0 since everyone had different drinks.