SOLUTION: Seth and Anna go to a cafe to buy a drink each. They can choose from Coke, Sprite and L&P. It is equally likely as to which drink they buy, Find the probability that both of them b

Algebra ->  Probability-and-statistics -> SOLUTION: Seth and Anna go to a cafe to buy a drink each. They can choose from Coke, Sprite and L&P. It is equally likely as to which drink they buy, Find the probability that both of them b      Log On


   



Question 1210366: Seth and Anna go to a cafe to buy a drink each. They can choose from Coke, Sprite and L&P. It is equally likely as to which drink they buy, Find the probability that both of them buy a coke
Answer by ikleyn(52785) About Me  (Show Source):
You can put this solution on YOUR website!
.
Seth and Anna go to a cafe to buy a drink each. They can choose from Coke, Sprite and L&P.
It is equally likely as to which drink they buy, Find the probability that both of them buy a coke
~~~~~~~~~~~~~~~~~~~~~~~~~~


There are three drinks for each to choose from, and the probability is 1/3 
for every drink to be selected by Seth and/or by Anna, independently.


Therefore, the probability that both of them will select coke independently is

    P = %281%2F3%29%2A%281%2F3%29 = 1%2F9.    <<<---=== ANSWER

Solved.

----------------------------


You can solve the problem by another way, considering the set of possible outcomes.

It consists of 9 pairs (drink_Seth,drink_Anna), so you have 9 possible outcomes
with equal probabilities. It leads to the same answer.