What is the probability of flipping a coin 8 times and getting heads 3 times? a.21.9% b.10.9% c.3.1% d.27.3%

The probability of flipping a coin 8 times and getting heads 3 times is 21.9%

Step-by-step explanation:

Given

A coin

A coin has two sides (a head and a tail)

The probability of getting a head is equal to the probability of getting a tail;

Let these probabilities be represented by H and P;

i.e. H = Probability of getting a Head

T = Probability of getting a Tail

Since both probabilities are equal and probability always sum to 1 then

H + T = 1

H + H = 1

2H = 1

H = 0.5 and T = 0.5

P (3 heads in 8 tosses) is given by the binomial representation

Where n = number of tosses = 8

r = number of heads

By Substitution,

becomes

= 0,21875

= 21.875%

= 21.9% --- Approximately