Answer :-Probability that the sequence is guessed on the first try
[tex]=\frac{1}{24}[/tex]
Explanation :-
Total colors available for making code= 4
Color required for making code =3
As once one color is used, it cannot be repeated in the sequence.
then by using permutation the total ways of making code = [tex]A=^4P_3=\frac{4!}{(4-3)!}\\=\frac{4\times3\times2\times1}{1!}=24[/tex]
Now probability that the sequence is guessed on the first try
[tex]\frac{1}{\text{total ways of making code}}=\frac{1}{24}[/tex]
The probability that the sequence is guessed on the first try by the other child is 1/24.
Probability is used to determine how likely it is that an event would ocucr. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the sequence is guessed on the first try = number of correct sequence / total number of possible sequence.
total number of possible sequence = 4! = 24
The probability that the sequence is guessed on the first try = 1/24
To learn more about probability, please check: https://brainly.com/question/13234031
