A TV series with 10 recurring characters. Four of these characters are protagonists, while the remaining six are secondary characters. For each scene of the TV series, the probability that any of the protagonists will be in it is 0.75.Instead, the probability that any secondary character will be in it is 0.25.
How do I calculate the probability that in 5 consecutive scenes, in three of them there will be one protagonist and one secondary character. I know it is something to do with binomials but I'm not sure how to fill it in. I think I need to find the probability that they will be in 1 scene and then do the binomial equation.