Answer to Question #351001 in Statistics and Probability for EDD

Question #351001

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
2022-06-20T17:59:26-0400

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

As this has 4 elements there are "2^4=16" subsets, namely


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

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

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

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


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