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Make a Probability Distribution for the Given Set of Events

Question 117

Multiple Choice

Make a probability distribution for the given set of events.
-When four fair coins are tossed, sixteen equally likely outcomes are possible as shown below: H?H? H?HT HHTH HHTT
HTHH HTHT HTTH HTTT
THHH THHT THTH THTT
TTHH TTHT TTTH TTTT Make a probability distribution for the number of tails when four fair coins are tossed.


A)
 Result  Probability 0 T1/161 T1/82 T3/83 T1/84 T1/16\begin{array}{r|r}\text { Result } & \text { Probability } \\\hline 0 \mathrm{~T} & 1 / 16 \\1 \mathrm{~T} & 1 / 8 \\2 \mathrm{~T} & 3 / 8 \\3 \mathrm{~T} & 1 / 8 \\4 \mathrm{~T} & 1 / 16\end{array}

B)
 Result  Probability 0 T1/161 T3/162 T1/23 T3/164 T1/16\begin{array}{r|r}\text { Result } & \text { Probability } \\\hline 0 \mathrm{~T} & 1 / 16 \\1 \mathrm{~T} & 3 / 16 \\2 \mathrm{~T} & 1 / 2 \\3 \mathrm{~T} & 3 / 16 \\4 \mathrm{~T} & 1 / 16\end{array}
C)
 Result  Probability 1 T1/42 T7/163 T1/44 T1/16\begin{array}{r|r}\text { Result } & \text { Probability } \\\hline 1 \mathrm{~T} & 1 / 4 \\2 \mathrm{~T} & 7 / 16 \\3 \mathrm{~T} & 1 / 4 \\4 \mathrm{~T} & 1 / 16\end{array}
D)
 Result  Probability 0 T1/161 T1/42 T3/83 T1/44 T1/16\begin{array}{r|r}\text { Result } & \text { Probability } \\\hline 0 \mathrm{~T} & 1 / 16 \\1 \mathrm{~T} & 1 / 4 \\2 \mathrm{~T} & 3 / 8 \\3 \mathrm{~T} & 1 / 4 \\4 \mathrm{~T} & 1 / 16\end{array}

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