A previous Arizona state lottery called Lotto is played as
A previous Arizona state lottery called Lotto is played as follows: The player selects six numbers from the numbers 1-42 and buys a ticket for $1. There are six winning numbers, which are selected at random from the numbers 1-42. To win a prize, a Lotto ticket must contain three or more of the winning numbers. A probability distribution for the number of winning numbers for a single ticket is shown in the following table.
a. If you buy one Lotto ticket, determine the probability that you win a prize. Round your answer to three decimal places.
b. If you buy one Lotto ticket per week for a year, determine the probability that you win a prize at least once in the 52 tries.
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