Answer to Question #351045 in Statistics and Probability for Bob

Question #351045

1. QUESTION:

Describe the sample space and all 16 events for a trial in which two coins are thrown and each shows either a head or a tail.


1
Expert's answer
2022-06-27T06:26:40-0400

The sample space is S={hh,ht,th,tt}.S=\{hh, ht, th, tt\}.

As this has 4 elements there are 24=162^4=16 subsets, namely



,{hh},{ht},{th},{tt},{hh,ht},{hh,th},\empty,\{ hh\}, \{ht\}, \{th\}, \{tt\}, \{hh, ht\},\{hh, th\},{hh,tt},{ht,th},{ht,tt},{th,tt},\{hh, tt\},\{ht, th\},\{ht, tt\},\{th, tt\},{hh,ht,th},{hh,ht,tt},{hh,th,tt},\{hh, ht, th\}, \{hh, ht, tt\},\{hh, th, tt\},{ht,th,tt},{hh,ht,th,tt}\{ht, th, tt\},\{hh, ht, th, tt\}

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