Peter calculated that the theoretical probability of obtaining exactly two heads when flipping six coins is 23.4%. what number of heads also has a 23.4% theoretical probability of coming up when 6 coins are flipped?

The theoretical probability of obtaining exactly four heads when flipping six coins is also 23.4%.

Step-by-step explanation:

Getting x successes out of n trials is a binomial distribution and is given by:

p(x) =

Here, n = 6

x = 2

p = probability of one head =

q = 1 - p

=

=

Substitute these values, we get,

p(2) =

=

=

= 0.234

= 23.4%

We know that

Now,

p(4) =

=

= p(2)

Hence, the theoretical probability of obtaining exactly four heads when flipping six coins is also 23.4%.