The probability of 6 P events when N = 10 and P = 0.7 is the same as 4 Q events if Q = 0.3 and N = 10.

Question

Quizplus · Accepted Answer

This is because the probability of getting exactly 6 successes (P events) in 10 trials with a success probability of 0.7 is the complement of getting exactly 4 failures (Q events, where Q is the failure probability) in 10 trials with a failure probability of 0.3, given that P + Q = 1. The binomial distribution formula for both scenarios yields the same result because the number of successes and failures adds up to the total number of trials, and the success and failure probabilities are complements of each other.

The Probability of 6 P Events When N = 10