What is the probability of answering 12 out of 14 questions correctly if there are 4 options in each question?

Question

Probability theory

What is the probability of answering 12 out of 14 questions correctly if there are 4 options in each question?
Advised to apply the Bernoulli formula. But I didn't get it.

Answer 1

Exactly 12 questions out of 14
n = 14, k = 12, p = 1/4 = 0.25
P _12.14 = 91*0.25 ¹² *0.75 ² = 3.051*10 ^-6
At least 12 out of 14
P = P _{12 .14} ​​+ P _13.14 + P _14.14 = 3.209 * 10 ^-6
But this is if you don’t know anything at all and answer by random selection of an answer.

Answer 2

p = 0.25, q = 0.75
P = 91 * 0.25 ^ 12 * 0.75 ^ 2
If I'm not mistaken, it turns out to be about 0.000003