Consider a die rolling game that costs $15 per play. Rolling a 6 wins you $40, rolling a 5 gets you$25, and rolling anything else gets you nothing. Find the expected value and determine if the gameis fair.

Respuesta :

Explanation

We need to present the information given in a table as follows:

The second column shows the probability of obtaining each event. Since they are equiprobable events, their probability are 1/6.

The next column determine the cost of obtaining each event; keeping in mid that each play costs $15.

The last column shows the expected value.

We know that If the value of the game is zero i.e. there is no loss or gain for any player, then the game is fair.

According to the table, there is a loss of 25/6, hence, the game is not fair.

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