A game is played with the following rules. Three ordinary coins are flipped and

Question

A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game. Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the outcome.
If the result is 3 heads, the player receives +4 points. If the result is 2 heads, the player receives +2 points. If the result is anything else, the player receives -1 point. What is the expected value of the number of points a player will receive after a turn?

1

A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game. Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the outcome.
If the result is 3 heads, the player receives +4 points. If the result is 2 heads, the player receives +2 points. If the result is anything else, the player receives -1 point. What is the expected value of the number of points a player will receive after a turn?

1

A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game. Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the outcome.
If the result is 3 heads, the player receives +4 points. If the result is 2 heads, the player receives +2 points. If the result is anything else, the player receives -1 point. What is the expected value of the number of points a player will receive after a turn?

1
A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game. Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the outcome.
If the result is 3 heads, the player receives +4 points. If the result is 2 heads, the player receives +2 points. If the result is anything else, the player receives -1 point. What is the expected value of the number of points a player will receive after a turn?

1

Explanation / Answer

Expected value of the no. Of points a player will receive is=

Probability of 3 heads×(+4)+probability of 2 heads ×(+2)+probability of 1 or 0 head ×(-1)

=1/2+3/4-1/2

=3/4

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