Question

Si lanzas una moneda justa 4 veces, ¿cuál es la probilidad

Answer 1

Answer:

The probability of getting exactly 2 soles is 0.375.

Step-by-step explanation:

The question is:

If you toss a fair coin 4 times, what's the probability that you get exactly 2 soles?

Solution:

A fair coin has two parts.

On tossing a coin once there is 50-50 odds of both the sides.

So, the probability of one side is, p = 0.50.

It is provided that a fair coin is tossed n = 4 times.

The event of any of the sides showing up after the toss are independent of each other.

The random variable X defined as soles, follows a Binomial distribution with parameters n = 4 and p = 0.50.

The probability mass function of X is:

$P(X=x)={4\choose x}\ (0.50)^{x}\ (1-0.50)^{4-x};\ x=0,1,2,3,4$

Compute the probability of getting exactly 2 soles as follows:

$P(X=2)={4\choose 2}\ (0.50)^{2}\ (1-0.50)^{4-2}$

                $=6\times 0.25\times 0.25\\\\=0.375$

Thus, the probability of getting exactly 2 soles is 0.375.