Question: Do not actually solve the questions. First I need to know what problem it is for example (Binomial probability distribution, NB, PMF, CDF, COMBINATORICS, conditional

Do not actually solve the questions. First I need to know what problem it is for example (Binomial probability distribution, NB, PMF, CDF, COMBINATORICS, conditional problem, independence, RV`s, and poisson distribution..etc ) Second please just tell relevant formulas and ideas that would use to solve the questions. ASAP will thumbs up thank you.

6) Say that in the game Monster Hunter, you have a 1/3 chance of encountering the monster you most want to fight, where each encounter is independent of each other encounter. a) What is the probability that you will have to fight three monsters you don't want to fight before you encounter the monster you want to fight? b) If you fight 10 monsters while playing, what is the probability that you will 5 times fight the monster you most want to fight? c) If instead, the rate of encountering the monster you want to fight is 4.5 per game, what is the probability that in a game, you will at most fight 1 of the monster you want to fight?

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