Make a Probability Distribution for the Given Set of Events

question 186

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