Question

In a consumer survey, 10 people were asked to choose a cola among Coke, Pepsi, and RC. If each person chose a cola randomly, what is the probability that at least one person did not choose Coke

1. The Probability that at least one person did not choose Coke is 7/10.
According to the statement
we have given that the in a consumer survey, 10 people were asked to choose a cola among Coke, Pepsi, and RC.
And we have to find the probability that at least one person did not choose Coke.
So, for this purpose, we have know that the
Probability is the chance that a given event will occur.
In probability, at least mean the minimum value that should occur once a random event happens.
And
the number of person which take part in a survey = 10
Number of items to choose = 3
The probability that the all person choose cola = 3/10
And
we know that the at least probability is:
at least probability = 1 – simple probability
So,
Probability that at least one person did not choose Coke = 1 – Probability that all person did choose Coke
Substitute the values in it then
Probability that at least one person did not choose Coke = 1 – 3/10
Probability that at least one person did not choose Coke = 7/10.
So, The Probability that at least one person did not choose Coke is 7/10.