Statistics

Question

suppose you pay $2 to play a game of chance, in which you toss a coin and roll a die. you are paid 10 dollars if your coin shows a tail and you roll at least a even on the die. let the random variable X be the amount of money gained or lost in the game.

(a)fill out the following distribution table

(b) if you played 1000 times, how much would you win/ lose?

Answer 1

pay $2 to play, flip a coin, roll a 6 sided die

win $10 if tails and at least an even

play 1,000 times, how much do you win or lose?? what is x??

"at least an even" is ambiguous

say you need to roll a 2, 4 or 6

that happens 50% of the time, same with a tail on the coin flip.

.5 times .5 = .25 = 25% of the time you win $10

on average

75% you lose $2

expected winnings = .25(10)- .75(2) = 2.5 - 1.5 = $1 winning each time you play

play 1000 times, you win $1,000= x