Respuesta :
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:
[tex]P(X=x)={4\choose x}\ (0.50)^{x}\ (1-0.50)^{4-x};\ x=0,1,2,3,4[/tex]
Compute the probability of getting exactly 2 soles as follows:
[tex]P(X=2)={4\choose 2}\ (0.50)^{2}\ (1-0.50)^{4-2}[/tex]
[tex]=6\times 0.25\times 0.25\\\\=0.375[/tex]
Thus, the probability of getting exactly 2 soles is 0.375.
