Respuesta :

Given:

Flipping a coin twice.

Required:

We need to find the likelihood of flipping heads twice in a row.

Explanation:

The sample space = All possible outcomes.

The sample space, S= {TT,TH,HT,HH}

[tex]n(S)=4[/tex]

Let A be the event of flipping heads twice..

The favorable outcomes = flipping heads twice.

The favorable outcomes ={HH}

[tex]n(A)=1[/tex]

Consider the probability formula.

[tex]P(A)=\frac{n(A)}{n(S)}[/tex][tex]P(A)=\frac{1}{4}[/tex][tex]P(A)=0.25[/tex]

The probability of flipping heads twice in a row is 0.25 which is a close value to the number 0.

This event happens least likely.

Final answer:

Flipping heads twice in a row is the least likely.

The probability of flipping heads twice in a row is 0.25.