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pishuonlain [190]
3 years ago
15

At a raffle, 1500 tickets are sold at $2 each for four prizes of $500, $250, $150 and $65. You buy two tickets. What is the expe

cted value of your gain?
Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

This can be solve by just knowing what is amount that is going to be yours and the amount that you will need to give for the prize. So the expected value of your gain is

[$2/ ticket (1500 tickets)] – ( $500 + $250 + 150 + $650) = $2035 is the expected gain

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Answer:

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Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

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<u>Finding </u>\angle E<u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external \angle DFG = \angle E + \angle EDF

\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2}  -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)

Comparing equations (1) and (2):

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\angle DFE = \angle E =90-\dfrac{y}{2}

The two angles of \triangle EDF are equal hence \triangle EDF is isosceles.

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