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Oxana [17]
3 years ago
6

Robert bought a $5 lottery ticket such that 1 in 100 would win $10, 1 in 1000 would win $100, and 1 in 50 million would win 1 mi

llion. What is the expected value of a lottery ticket in dollars?
Does Robert expect to earn a profit if he buys 100 tickets?


By how much?
Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

Loss of $4.78

Loss of $478

Step-by-step explanation:

Expected value = Sum of (winning amount x winning probability) - cost of lottery ticket

Expected value = ( $10 x 1/100 + $100 x 1/1000 + $1 million x 1/$50 million ) - $5

Expected value= $0.22 - $5

Expected value= - $4.78

The Negative value of expected value indicates loss)

Amount expected to lose if 100 tickets are bought = 100 x $4.78 = $478

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<u>Step-by-step explanation:</u>

Given equation:

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First, we put hit and trial method to find out the one solution. So, if we put x=4 then the above expression will become zero.  We can also write the above expression as  

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We know the formula, a^{2}-b^{2}=(a+b)(a-b), make use of this, we get

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Picture to help with your understanding.

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