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

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

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RenatoMattice RenatoMattice · Answer 2 · 2019-06-06T05:57:55+02:00

Answer: Probability that heads appear on only the last toss is [tex]\dfrac{1}{2}[/tex]

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

[tex]\dfrac{4}{8}=\dfrac{1}{2}[/tex]

Hence, probability that heads appear on only the last toss is [tex]\dfrac{1}{2}[/tex]