You decide to play monthly in two different lotteries, and you stop playing as soon as you win a prize in one (or both) lotteries of at least one million dollars. Suppose that every time you participate in these lotteries, the probability to win one million (or more) euros is pl for one of the lotteries and p2 for the other. Let M be the number of times you participate in these lotteries until winning at least one prize. What kind of distribution does M have, and what is its parameter?

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You decide to play monthly in two different lotteries, and you stop playing as
soon as you win a prize in one (or both) lotteries of at least one million dollars.
Suppose that every time you participate in these lotteries, the probability to win
one million (or more) euros is pl for one of the lotteries and p2 for the other. Let
M be the number of times you participate in these lotteries until winning at least
one prize. What kind of distribution does M have, and what is its parameter?
Transcribed Image Text:You decide to play monthly in two different lotteries, and you stop playing as soon as you win a prize in one (or both) lotteries of at least one million dollars. Suppose that every time you participate in these lotteries, the probability to win one million (or more) euros is pl for one of the lotteries and p2 for the other. Let M be the number of times you participate in these lotteries until winning at least one prize. What kind of distribution does M have, and what is its parameter?
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