Answer to Question #145811 in Statistics and Probability for ijaz

Question

A coin is flipped until 3 heads in succession occur.
List only those elements of the sample space that
require 6 or less tosses. Is this a discrete sample space?
Explain.

Answer 1

$S=\{HHH, THHH, TTHHH, TTTHHH,...,HTHHH,$

$HTTHHH, HTTTHHH,...\}$

The sample space contains an infinite sequence of elements, so the sample space is not discrete.

List only those elements of the sample space thatrequire 6 or less tosses.

$$S=\{HHH, THHH, TTHHH,$$ $$TTTHHH, HTHHH,HTTHHH,$$ $$HHTHHH,THTHHH\}$$