Four students wearing blindfolds are sitting in a row, one behind another. Four

Question

Four students wearing blindfolds are sitting in a row, one behind another. Four hats (at least one red, at least one white, and at least one blue) are placed at random on their heads. The only possible colors for the hats are red, white, or blue. The blindfolds are then removed, at which point each student can see all of the hats of the students sitting in front of them, but not their own, nor those of students sitting behind them. Beginning with the student sitting in the back, and moving forward one student at a time, each student is asked what color hat they are wearing.

Question: What is the probability that all four students will be able to give the correct answer without any guessing?

Explanation / Answer

What is the probability that all four students will be able to give the correct answer without any guessing?

there is no way that we can have 100% of acuraccy because this is a probability distribution so we always have a minimum error

so the probability is = 1 / 4 * 1/4 = 1/16

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