There are six multiple-choice questions on an exam, each with three possible answers. (a) Determine the number of possible answer sequences for the six questions. (b) Only one of the sets can contain all six correct answers. If you are guessing, so that you are as likely to choose one sequence of answers as another, what is the probability of getting all six answers correct

Respuesta :

Answer:

a) 729

b)0.0014

Step-by-step explanation:

(a) In order to determine number of possible answers, we'll use combination method

nPr= [tex](n)^{r}[/tex]

where,

n=3 and r=6

number of possible answers= [tex]3^{6}[/tex] => 729

(b) If Only one of the sets can contain all six correct answers.

probability of getting all five answers correct = 1/ 729 => 0.0014