A coin is tossed three times and the sequence of heads and

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QUESTION:

A coin is tossed three times and the sequence of heads and tails is recorded.

a. List the sample space.

b. List the elements that make up the following events: (1) A = at least two heads, (2) B = the first two tosses are heads, (3) C = the last toss is a tail.

c. List the elements of the following events: (1) \(A^c\), (2) \(A \cap B\), (3) \(A \cup C\).

Questions & Answers

QUESTION:

A coin is tossed three times and the sequence of heads and tails is recorded.

a. List the sample space.

b. List the elements that make up the following events: (1) A = at least two heads, (2) B = the first two tosses are heads, (3) C = the last toss is a tail.

c. List the elements of the following events: (1) \(A^c\), (2) \(A \cap B\), (3) \(A \cup C\).

ANSWER:

Step 1 of 3

When a coin is tossed, the possible outcome can be either Head(H) or Tail(T).

When coin is tossed 3 times, the sample space(S) will contain \(2^{3}=8\) outcomes.

\(S=\{H H H, H H T, H T H, T H H, T T H, T H T, H T T, T T T\}\)

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