3-12 ■ Expected Value of a Game Find the expected value (or expectation) of the games described.
A bag contains eight white balls and two black balls. John picks two balls at random from the bag, and he wins if he does not pick a black ball.
The expected value of the game.
The formula for probability is given as,
Here, is the probability, is the number of event and is the total number of sample.
The expected value is given as,
Here, is the amount of payout and is the probability of payout.
A bag contains 8 white balls and 2 black balls. John picks 2 balls at random from the bag, and he wins .
The total outcome is .
Calculate the probability, if both the balls are white.
Substitute for and for in equation to calculate the probability.
Calculate the probability, if one ball is white and one ball is black