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The college student senate is sponsoring a spring break caribbeancruise raffle. the proceeds are to be donated to the samaritancenter for homeless. a local travel agency donated the cruise,valued at $2000. the students sold 2852 raffle tickets at $5 perticket.

a.) kevin bought 6 tickets. what is the probability that kevin willwin the spring break cruise to the caribbean? what is theprobability that kevin will not win the cruise?

b.) expected earnings can be found by multiplying the value of thecruise by the probability that kevin will win. what are kevinsexpected earnings? is this more or less than the amount kevin paidfor the 6 tickets? how much did kevin effectively contribute to thesamaritan center for the homeless?

Respuesta :

opudodennis

Answer:

a.0.9979

b. Expected earnings=$4.21

-Expected Earnings less that ticket cost

-$25.79 contributed to the center.

Step-by-step explanation:

a. Probability is defined as the likelihood of an event.. The formula is given as:

[tex]P=\frac{Event \ Outcome}{Total \ Outcomes}[/tex]

Kevin buys 6 tickets (6*$5=$30)

Therefore the probability of Kevin winning is :

[tex]P=\frac{6}{2852}\\=0.0021[/tex]

Probability of not winning=1-P(winning)

=1-0.0021=0.9979

Hence the probability of Kevin not winning is 0.9979

b.Expected winning is given by multyplying the value of cruise by the probability of winning.

Kevin's expected earnings=$2000*0.0021=$4.2076

Total cost of tickets =6*$5=$30

Hence Kevin's expected earnings of $4.2076 is less than the $30.0 he spent on tickets.

Contribution to the homeless= Cost of Tickets-Expected earnings=30-4.21=$25.79

#Kevin effectively contributed $25.79 to the Samaritan.

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