An entry into the UK lottery consists of a list of six numbers. During the draw, six numbered balls are chosen at random and if a player matches all six (regardless of order) they win the jackpot. (a) Until 2015, the balls were numbered 1 to 49 (inclusive). What was the probability of a particular entry winning? (b) From 2015, the balls have been numbered 1 to 59 (inclusive). What is the probability of winning now?                   (c) *What is the probability of matching five balls out of six in the current set-up? Can you generalize to the probability of matching n balls?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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An entry into the UK lottery consists of a list of six numbers. During the draw, six numbered balls are chosen at random and if a player matches all six (regardless of order) they win the jackpot.

(a) Until 2015, the balls were numbered 1 to 49 (inclusive). What was the probability of a particular entry winning?

(b) From 2015, the balls have been numbered 1 to 59 (inclusive). What is the probability of winning now?                  

(c) *What is the probability of matching five balls out of six in the current set-up? Can

you generalize to the probability of matching n balls?

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