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"Cash 5" is a 5/35 lottery. It is played in Arizona, Connecticut, Iowa, Massachusetts, North Carolina,...

"Cash 5" is a 5/35 lottery. It is played in Arizona, Connecticut, Iowa, Massachusetts, North Carolina, and South Dakota. (a) Find the probability of winning first prize. (Enter your answer as a fraction.)

Math   Statistics-And-Probability   
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Answer #1

Answer:

Given that,

"Cash 5" is a 5/35 lottery. It is played in Arizona, Connecticut, Iowa, Massachusetts, North Carolina, and South Dakota.

Therefore, the sample space S is the set of all possible lottery tickets, i.e, it is set of all possible choices of 5 numbers selected from the set {1,2,3,4,........,35}

Therefore,

= 324632

(a).

Find the probability of winning the first prize:

Since, these can be only one winning combinations of numbers.

(To win 1st prize, one should select all 5 numbers correct)

Therefore, Required probability=1/

=1/324632

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