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Nostrana [21]
3 years ago
15

Gene is playing a game with a bag of marbles. 3 of the marbles are blue, 4 are green, and 7 are yellow. See below for awarded pr

izes. $2 green $0.5 yellow $4 blue What is the expected cost (or payout for Gene's game?
Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

<h2><em>$23.5</em></h2>

Step-by-step explanation:

Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;

If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12

If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0

If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5

Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.

<em>Hence Gene expected cost will be $21.5</em>

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========================================================

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----------------------------

The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.

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