. A small club is running a lottery. This means that the organiser has a mecha- nism to generate a selection of 4 winning numbers from a set of 24 numbers. A participant chooses their own selection of 4 numbers and wins a prize depend- ing on how many of the 4 winning numbers they match. (a) A Jackpot is awarded for matching all of the 4 winning numbers. Calculate the probability of winning this Jackpot. (b) A second prize is awarded for matching 3 of the 4 winning numbers. Cal- culate the probability of winning this secondary prize.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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4. A small club is running a lottery. This means that the organiser has a mecha-
nism to generate a selection of 4 winning numbers from a set of 24 numbers. A
participant chooses their own selection of 4 numbers and wins a prize depend-
ing on how many of the 4 winning numbers they match.
(a) A Jackpot is awarded for matching all of the 4 winning numbers. Calculate
the probability of winning this Jackpot.
(b) A second prize is awarded for matching 3 of the 4 winning numbers. Cal-
culate the probability of winning this secondary prize.
Transcribed Image Text:4. A small club is running a lottery. This means that the organiser has a mecha- nism to generate a selection of 4 winning numbers from a set of 24 numbers. A participant chooses their own selection of 4 numbers and wins a prize depend- ing on how many of the 4 winning numbers they match. (a) A Jackpot is awarded for matching all of the 4 winning numbers. Calculate the probability of winning this Jackpot. (b) A second prize is awarded for matching 3 of the 4 winning numbers. Cal- culate the probability of winning this secondary prize.
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