In a randomly generated sequence of 24 binary digits (0s and 1s), what is the probability that exactly half of the digits are 0? a. 1352078 b. 1.295 c. 0 d. 0.1612 select the best answer from the choices provided a b c d

0.1612

Step-by-step explanation:

We are given that there are 24 binary digits .

We are supposed to to find  the probability that exactly half of the digits are 0.

Probability of success p (getting half of 24 i.e. 12 digits is 0 ) = 0.5

Since the sum of the probabilities is 1 .

So, probability of failure q = 1-0.5 = 0.5

Formula :

So, n = 24

r = 12

p = 0.5

q=0.5

Substituting the values we get :

Thus the probability of exactly half of the digits are 0 is 0.1612

Hence Option D is correct .