Make a Probability Distribution for the Given Set of Events

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)
$\begin{array}{r|r}\text { Result } & \text { Probability } \\\hline 0 \mathrm{~T} & 1 / 16 \\1 \mathrm{~T} & 1 / 8 \\2 \mathrm{~T} & 3 / 8 \\3 \mathrm{~T} & 1 / 8 \\4 \mathrm{~T} & 1 / 16\end{array}$

B)
$\begin{array}{r|r}\text { Result } & \text { Probability } \\\hline 0 \mathrm{~T} & 1 / 16 \\1 \mathrm{~T} & 3 / 16 \\2 \mathrm{~T} & 1 / 2 \\3 \mathrm{~T} & 3 / 16 \\4 \mathrm{~T} & 1 / 16\end{array}$
C)
$\begin{array}{r|r}\text { Result } & \text { Probability } \\\hline 1 \mathrm{~T} & 1 / 4 \\2 \mathrm{~T} & 7 / 16 \\3 \mathrm{~T} & 1 / 4 \\4 \mathrm{~T} & 1 / 16\end{array}$
D)
$\begin{array}{r|r}\text { Result } & \text { Probability } \\\hline 0 \mathrm{~T} & 1 / 16 \\1 \mathrm{~T} & 1 / 4 \\2 \mathrm{~T} & 3 / 8 \\3 \mathrm{~T} & 1 / 4 \\4 \mathrm{~T} & 1 / 16\end{array}$

Correct Answer:

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