Answer to Question #167586 in Statistics and Probability for Raihan

Question

1. An experiment consists of tossing a die and then flipping a coin once if the number of the dies is even. If the number on the die is off, the coin is flipped twice. Using notation 4H, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HT to denote the outcome that the dies comes up 3 followed by a head and then a tail on the coin, construct a three diagram to show the 18 elements of the sample space S.

Answer 1

The tree structure is given by-

The sample space for the following Tree is given by-

$2H,2T,4H,4T,6H,6T,1HH,1HT,1TH,\\1TT,3HH,3HT,3TH,3TT,5HH,5HT,5TH,5TT$