Question

You flip a coin twice what is the probability of getting tails and then getting tails

Answer 1

The probability a single event A occurs is:

`P(A)=\frac{\text{ number of favorable outcomes to A}}{\text{ number of total outcomes}}`

The probability P two consecutive events A and B occurs is:

`P=P(A)*P(B)`

So, let's consider the probability of the first event: getting tails.

Favorable outcomes: Tail

Number of favorable outcomes: 1

Total outcomes: Tail, Head

Number of total outcomes: 2

So, the probability of getting a tail is:

`P(A)=(1)/(2)`

So, let's consider the probability of the second event: getting tails in the second time.

Favorable outcomes: Tail

Number of favorable outcomes: 1

Total outcomes: Tail, Head

Number of total outcomes: 2

So, the probability of getting a tail is:

`P(B)=(1)/(2)`

Finally, let's calculate the probability of getting a tail twice.

`\begin{gathered} P=P(A)*P(B) \\ P=(1)/(2)*(1)/(2) \\ P=(1)/(4) \end{gathered}`

Answer: The probability is 1/4.