Mathematics, 04.11.2020 14:00 gd9075

A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the die roll: * If the result is 1 or 2, the player wins nothing; * If the result is 3, 4, or 5, the player wins 4 dollars; * If the result is 6, the player wins 36 dollars. (Note: Your answer to the question below should be rounded to three decimal places.) If you play this game once (and it costs you nothing to play), what is the expected amount of money you will win?

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Answer from: moneytt7508

Using the discrete probability principle, the expected value for the amount of money which could be won ls $8.00

Sample space = (1, 2, 3, 4, 5, 6)P(1 or 2) = 2/6 = 1/3 = 0.33P(3,4, or 5) = 3/6 = 1/2 = 0.5 P(6) = 1/6 = 0.1667

X : $0 $4 $36

P(X) : __ 0.333 ___ 0.5 0.1667

The expected value ls defined thus :

Σ[(X × p(X)]

E(X) = (0 × 0.333) + (4 × 0.5) + (36 × 1/6)

E(X) = 0 + 2.0 + 6

E(X) = $8.0

Therefore, the expected amount to be won in the long run is $8.0

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Answer from: Jessietorres5024

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event Probability Value Won

The result is 1 or 2 33.33% $0

The result is 3, 4 or 5 50.00% $4.00

The result is 6 16.67% $36.00

Expected Value:

Event Probability Value Expected Value

The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)

The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)

The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)

Total expected amount of money = $8.00

Answer from: Quest

i think the answer is b.

step-by-step explanation:

not 100% sure though.

Answer from: Quest

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

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A game of chance involves rolling a standard, six-sided die. The amount of money the player wins dep...

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