Question

A coin is tossed $7$ times. What is the probability of getting all tails? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answer 1

Find the probability of getting all tails.

• A coin is tossed $7$ times.
• Since, a coin has 2 sides, which are heads and tails.

The probability of tail is defined as:

$\begin{array}{rcl}P& =& \frac{1}{2}\\ & \Rightarrow & P=0.5\end{array}$

Probability of getting all tails when the coin is tossed $7$ times:

$\begin{array}{rcl}\mathrm{P}\left(\mathrm{getting}\mathrm{all}\mathrm{tails}\right)& =& {\left(0.5\right)}^7\\ & =& 0.0078125\\ & \approx & 0.0078\left[\mathrm{Rounded}\mathrm{to}\mathrm{four}\mathrm{decimal}\mathrm{places}.\right]\end{array}$

Therefore, the probability of getting all tails will be $\mathbf{0}\mathbf{.}\mathbf{0078}$.