MHB Winning the Lottery: Calculating Probabilities of 6 Numbers Out of 34

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To win a lottery by selecting 6 numbers from a pool of 34, the total number of combinations can be calculated using the formula for combinations, which is 34 choose 6. This results in 134596 possible combinations. If you purchase one lottery ticket, the probability of winning is 1 in 134596, or approximately 0.00000746. Participants are encouraged to share their progress or initial thoughts to facilitate better assistance from others. Engaging in this way helps streamline the problem-solving process.
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In a certain lottery, you must select 6 numbers (in any order) out of 34 correctly to win.
a.) How many ways can 6 numbers be chosen out of 34 numbers?
b.) You purchase one lottery ticket. What is the probability of winning?
 
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