A carnival game has a bowl with 50 packages with 1 item in each: 25 are marbles,

Question

A carnival game has a bowl with 50 packages with 1 item in each: 25 are marbles, 10 are pieces of gum, and the rest contain a new nickel. If each marble is worth 2 cents, and the pieces of gum are each worth a dime, what is the expected value of a random choice from the bowl?
The expected value is a0 cents. A carnival game has a bowl with 50 packages with 1 item in each: 25 are marbles, 10 are pieces of gum, and the rest contain a new nickel. If each marble is worth 2 cents, and the pieces of gum are each worth a dime, what is the expected value of a random choice from the bowl?
The expected value is a0 cents. A carnival game has a bowl with 50 packages with 1 item in each: 25 are marbles, 10 are pieces of gum, and the rest contain a new nickel. If each marble is worth 2 cents, and the pieces of gum are each worth a dime, what is the expected value of a random choice from the bowl?
The expected value is a0 cents.

Explanation / Answer

To calculate the average value, we multiply the individual value of the components, by the number of the component and then sum the values we get. Finally, we divide the sum by the number of components as such:
Marble value: 25 * 2 = 50 cents
Gum value = 10 * 10 = 100 cents
Nickel value = 15 * 5 = 75 cents

Total value = 225 cents
Average value = 225/ 50
Average value = 4.5 cents

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