Question

A coin flip: A fair coin is tossed three times. The outcomes of the three tosses are recorded. Round your answers to four decimal places if necessary. Part 1

Answer 1

If we toss a fair coin three times then possible outcomes are given by,

S={HHH,HHT,HTH,THH,TTH,THT,HTT,TTT}

Here each outcomes are equally likely.

i.e, the probability of occurrence each outcomes is 1/8

Here we need to find the probability that tosses all are the same,

$=P(HHH)+P(TTT)$

+ 00

$=\frac{2}{8}$

$=\frac{1}{4}$

$=0.25$

The probability is 0.25