(Step-by-Step) Counting: Lottery: In the Colorado state lotto game, there are 42 numbers. Players choose any 6. Then the state selects 6 of the numbers at


Question: Counting: Lottery: In the Colorado state lotto game, there are 42 numbers. Players choose any 6. Then the state selects 6 of the numbers at random. The winning tickets (for the grand prize) are those on whish the player’s 6 numbers match the state’s 6 numbers.

  1. From 42 numbers, how many groups of 6 are possible?
  2. If you buy one lottery ticket, what is the probability of winning the grand prize?
  3. Probability extension: If you buy 10 lottery tickets, what is the probability of winning the grand prize?

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