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Ronnie owns a fireworks stand and knows that in the firework business, 1 out of every 13 fireworks are duds

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Ronnie owns a fireworks stand and knows that in the firework business, 1 out of every 13 fireworks are duds. Consider a firework being a dud to be a success. If Katie buys 20 firecrackers at Ronnie’s stand,

what’s the probability that

(a) she has just one defective firecracker?

(b) no more than 6 are duds?

(c) she has a perfect display with no duds?

(d) she has 3 duds?

(e) at least 4 are duds?

(f) she has at most 3 duds?