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What is the probability Pk of rolling at least one 6 in k rolls of a die?

Stat questions.

  1. What is the probability Pk of rolling at least one 6 in k rolls of a die?

Can you explain why Pk+1 = Pk + (1- Pk)*1/6?

Can you illustrate how the numbers Pk move on the interval 0≤x≤1 as k increases?

  1. A deck of cards is shuffled well and dealt out. What is the probability that the thirteenth card dealt is an ace? What is the probability that the first ace occurs on the thirteenth card?

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