Question

A fair coin tossed 3 times in a row. What is the probability that heads appear on only the last toss?

Answer 1

Answer: Probability that heads appear on only the last toss is $\dfrac{1}{2}$

Step-by-step explanation:

Since we have given that

A coin is tossed 3 times in a row.

Total number of outcomes = 8

Number of possible outcomes would be

{HHH,HTH,HHT,TTH,THT,HTH,TTT,HTT}

We need a probability that heads appear on only the last toss.

So, Number of possible outcomes becomes 4

i.e. {HHH,HTH, THH,TTH}

So, our required probability would be

$\dfrac{4}{8}=\dfrac{1}{2}$

Hence, probability that heads appear on only the last toss is $\dfrac{1}{2}$

Answer 2

The total number of ways you can toss a coin 3 times  is 8.
H H H
H H T
H T H
H T T
T H H
T H T
T T H
T T T
That should be 8 times.
H H T is the only toss that works
1/8 times