Expected value (50 points)
game: roll two dice. win a prize based on the sum of the dice.
cost of playing the game: $1
prizes:
win $10 if your sum is odd.
win $5 if you roll a sum of 4 or 8.
win $50 if you roll a sum of 2 or 12.
explain how to find the expected value of playing this game. what is the expected value of playing this game? show your work. (30 points)
someone want to me find the expected value? i know how to do it with single things but not ones this complex.
is much appreciated

Let be the random variable representing the winnings you get for playing the game. Then

First thing to do is determine the probability of each of the above events. You roll two dice, which offers 6 * 6 = 36 possible outcomes. You find the probability of the above events by dividing the number of ways those events can occur by 36.

So the probability mass function for this game is

The expected value of playing the game is then

or about $7.89.

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.