solve this equation for the probability of getting 6 correct out of 10 questions

Question

Plugging in the values, we get:

P(X = 6) = (10 choose 6) * (1/4)^6 * (3/4)^(10-6)

Answer 1

P(X = 6) = (10 choose 6) * (1/4)^6 * (3/4)^(10-6)
P(X = 6) = 210 * (1/4)^6 * (3/4)^4
P(X = 6) = 210 * (1/4096) * (81/256)
P(X = 6) = 210 * (81/1048576)
P(X = 6) = 0.001619

Therefore, the probability of getting 6 correct out of 10 questions is approximately 0.1619%.