Question

What is the probability that when a coin is flipped six times in a row, it lands heads up every time?

Short answer

Answer

The probability that when a coin is flipped six times in a row, it lands heads up every times is$P\left(E\right)=164.$

Step-by-step solution

Find that

The probability that when a coin is flipped six times in a row, it lands heads up every time

Given

As per the problem we have been asked to find the probability that when a coin is flipped six times in a row, it lands heads up every time .

Explanation

If S represents the samples space and E represents the event. Then the probability of occurrence of favourable event is given by the formula as below:

$P\left(E\right)=n\left(E\right)n\left(S\right)$

When a coin is flipped once the probability of getting a head is$12$

When a coin is flipped twice the probability of getting two heads in a row is$122$

So, when a coin is flipped six times in a row, it lands heads up every time is$126$

Conclusion

The probability that when a coin is flipped six times in a row, it lands heads up every times is$P\left(E\right)=164.$