Five thousand tickets are sold at $1 each for a charity raffle. tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $500, 3 prizes of $300, 5 prizes of $30, and 20 prizes of $5. what is the expected value of this raffle if you buy 1 ticket?

Expected value of raffle = $-0.67

Step-by-step explanation:

Number of tickets sold = 5,000

Selling price of each ticket = $1

1 prize = $500

3 prizes = $300

5 prize = $30

20 prizes = $5

The value of each ticket is  given by

value = $500*(1/5000) + $300*(3/5000) + $30*(5/5000 + $5*(20/5000)

value = $0.1 + $0.18 + $0.03 + $0.02

value = $0.33

The expected value is

Expected value = value - selling price

Expected value = $0.33 - $1

Expected value = -$0.67

Therefore, the expected value of this raffle is -$0.67  if you buy 1 ticket.

The negative sign means that you are most likely to lose $0.67 if you buy a raffle ticket for $1.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

8

step-by-step explanation: