I play a game where I roll a 6 sided die. I start with 1000 points and it costs me 10 points each time I play the game and roll the die. I win 50 points if I roll a 6. All other rolls equal 0 points.

1) Create a probability distribution tablewhere X is a random variable representing the points won. Calculate the expected value and compare to the 10 points it costs to play the game.Create the probability bar graphin a spreadsheet as well.

2) Compare the method of calculating expected value with the table to the formula for Binomial presented in this activity.What are the pros and cons of each?