Consider rolling one (six-sided) fair die and tossing one (two-sided) fair coin. If the coin turns up heads, then the number of spots showing on the...

Consider rolling one (six-sided) fair die and tossing one (two-sided) fair coin. If thecoin turns up heads, then the number of spots showing on the die is the score of that trial. If thecoin turns up tails, then twice the number of spots showing on the die is the value for that trial. Inother words, if the coin-toss results in a head and the die lands showing a 4 face up, then thescore is 4 points for that trial. If the coin were to land tails up and the die landed a 4 face up, thenthe score of that trial will be 8 points. Determine the possible outcomes in the sample space andconstruct a probability distribution table. Once that is completed you are to find the expectedvalue of the following experiment. If I were to invite you to play the above game where I wouldpay you your score in dollars (1 point = 1 dollar), what should I charge you to play? Using thatticket price, how many games would have to be played in order for me to have an expected profitof $100.00?