Question

In a taste test, five different customers are each presented with 3 different soft drinks. The same soft drinks are used with each customer, but presented in random order. If the selections were made by random guesses, find the probability that all five customers witnesses would pick the same soft drink as their favorite. (There is more than one way the customers can agree.)

Answer 1

0.01235

Explanation:

we can solve for probability by using the formula;

favourable outcome/total number of outcomes

in this question, the number of favorable outcome = 3

the total number of outcomes = 3⁵

= 3x3x3x3x3 = 243

probability = 3/243

= 0.012345678

this can be approximated to be 0.01235

0.01235 is therefore the probability that all 5 customers would pick the same soft drink as their favorite drink.