Chapter 13.1, Problem 29HP

To determine

To write equation for total number of possible outcomes.

Answer to Problem 29HP

  $n^k$

Explanation of Solution

Given information: A multistage experiment with n possible outcomes & k stages.

Explanation-

If there are n outcomes , then the stage-wise outcomes will be-

  $n\times n$ .. for two stages

  $n\times n\times n$ ..for three stages

  $n\times n\times n\times n$ ..for four stages

  $n\times n\times n\times n\mathrm{.........}\times n$ for k stages

Hence, for k stages it will be − $n^k$