d. part A or B? a. Calculate the number of possible lottery tickets if the playe

Question

d. part A or B?

a. Calculate the number of possible lottery tickets if the player must choose 7 numbers from a collection of 41 numbers (1 through 41), where the order does not matter. The winner must match all 7. b. Calculate the number of lottery tickets if the player must choose 6 numbers from a collection of 64 numbers (1 through 64), where the order does not matter. The winner must match all 6. c. In which lottery does the player have a better chance of choosing the randomly selected winning numbers? d. In which lottery does the player have a better chance of choosing the winning numbers if the order in which the numbers appear on the ticket matters? a. There are possible lottery tickets. b. There are possible lottery tickets. c. The player has a better chance of choosing the randomly selected winning numbers in the lottery from part d. The player has a better chance of choosing the winning numbers if the order in which the numbers appear on the ticket matters in the lottery from part

Explanation / Answer

a)

From 41, we choose 7

So, 41C7 ways, as in 22481940 ways

From 64, we choose 6

So, 64C6, as in 74974368 ways

Obviously there are fewer ways for the first one
and therefore, more probability to win that one

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c)
Since there are fewer ways in part A,
part A is this answer

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d)
For the order to match,
in the first one, since there are fewer possibilities,
the chances are better

So, part A again

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