Suppose you decided to play a gambling game order to play the game there is a 1 50 dollar fee to play If you roll a 1 2 or 3 you

Question

Suppose you decided to play a gambling game order to play the game there is a 1 50 dollar fee to play If you roll a 1 2 or 3 you win nothing i e your net profit is 1 5 dollars If you roll a 4 or 5 you win 4 25 i e your net profit is 2 75 If you roll a 6 you win 4 50 i e your net profit is 3 a Use the information described above to constuct a probability distribution table for the random variable which represents the net profit of your winnings Note Be sure to enter your probabilities as reduced fractions X You roll a 1 2 or 3 You roll a 4 or 5 You roll a 6 P x You roll a 1 2 or 3 You roll a 4 or 5 You roll a 6 b Find the amount you would expect to win or lose each time you played the game Round your final answer to two decimal places

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