Find the probability for the experiment of tossing a coin four times and getting at least two heads. Use the sample space
$S=\begin{array}{cccc}
H H H H & H H H T & H H T H & H T H H \
\text { THHH } & H H T T & H T H T & T H H T \
T H T H & H T T H & T T H H & T T H \
\text { TTHT } & \text { THTT } & H T T T & T T T T
\end{array}$

A) $\frac { 11 } { 16 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 13 } { 16 }$
D) $\frac { 7 } { 8 }$
E) $\frac { 5 } { 8 }$

Question

Find the probability for the experiment of tossing a coin four times and getting at least two heads. Use the sample space
$S=\begin{array}{cccc}
H H H H & H H H T & H H T H & H T H H \
\text { THHH } & H H T T & H T H T & T H H T \
T H T H & H T T H & T T H H & T T H \
\text { TTHT } & \text { THTT } & H T T T & T T T T
\end{array}$

A) $\frac { 11 } { 16 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 13 } { 16 }$
D) $\frac { 7 } { 8 }$
E) $\frac { 5 } { 8 }$

Quizplus · Accepted Answer

The outcomes with at least two heads are all except the last four (which have fewer than two heads), making 11 out of 16 total outcomes.

Find the Probability for the Experiment of Tossing a Coin