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?

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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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