Find the probability of three hits out of six shots if the probability of hitting each shot is 0.3.

Probability of hitting one shot: p = 0.3.
Probability to miss: q = 1 – p = 1 – 0.3 = 0.7.
Let’s calculate the probability of three hits using the Bernoulli formula:
n = 6 – number of attempts, k = 3 – number of hits:
P (3) = C (n, k) * p ^ k * q ^ (n – k);
C (6,3) = 6! / (3! * (6 – 3)!) = 4 * 5 * 6 / (1 * 2 * 3) = 20;
P (3) = 20 * 0.3 ^ 3 * 0.7 ^ 3 = 0.185.
Answer: 0.185.