Assume Five Fair Coins Are Tossed at Once $\quad$ $\quad$

Assume five fair coins are tossed at once. Construct a table showing the probability distribution for the events 5 heads, 4
Heads, 3 heads, 2 heads, 1 head, and 0 heads.. $\quad$ $\quad$
$\text { Tossing } 5 \text { Coins }$
$\begin{array}{lll}\hline\text { Result } &\text { Probability }\\\hline \\\\\\\\\\\\\hline\text { Total }&&\\\end{array}$

A)
$\quad$ $\quad$$\text { Tossing } 5 \text { Coins }$
$\begin{array}{llc}\hline\text { Result } &&\text { Probability }\\\hline5 \text { heads } & 0 \text { tails } & 1 / 6 \\4 \text { heads } & 1 \text { tail } & 1 / 6 \\3 \text { heads } & 2 \text { tails } & 1 / 6 \\2 \text { heads } & 3 \text { tails } & 1 / 6 \\1 \text { head } & 4 \text { tails } & 1 / 6 \\0 \text { heads } & 5 \text { tails } & 1 / 6\\\hline\\\text { Total }&&1\\\hline \end{array}$


B)
$\quad$ $\quad$$\text { Tossing } 5 \text { Coins }$
$\begin{array}{clc}\hline\text { Result } &&\text { Probability }\\ \hline5 \text { heads } & 0 \text { tails } & 1 \\4 \text { heads } & 1 \text { tail } & 5 \\3 \text { heads } & 2 \text { tails } & 10 \\2 \text { heads } & 3 \text { tails } & 10 \\1 \text { head } & 4 \text { tails } & 5 \\0 \text { heads } & 5 \text { tails } & 1\\\hline\text {Total}&&32 \end{array}$


C)
$\quad$ $\quad$$\text { Tossing } 5 \text { Coins }$
$\begin{array}{llc}\hline\text { Result } &&\text { Probability }\\\hline5 \text { heads } & 0 \text { tails } & 1 / 32 \\4 \text { heads } & 1 \text { tail } & 5 / 32 \\3 \text { heads } & 2 \text { tails } & 10 / 32 \\2 \text { heads } & 3 \text { tails } & 10 / 32 \\1 \text { head } & 4 \text { tails } & 5 / 32 \\0 \text { heads } & 5 \text { tails } & 1 / 32\\\hline\text { Total }&&1\end{array}$




D)
$\quad$ $\quad$$\text { Tossing } 5 \text { Coins }$
$\begin{array}{llc}\hline\text { Result } &&\text { Probability }\\\hline5 \text { heads } & 0 \text { tails } & 1 \\4 \text { heads } & 1 \text { tail } & 1 \\3 \text { heads } & 2 \text { tails } & 1 \\2 \text { heads } & 3 \text { tails } & 1 \\1 \text { head } & 4 \text { tails } & 1 \\0 \text { heads } & 5 \text { tails } & 1\\\hline\text { Total }&&6\end{array}$