contestada

A friend proposes a gamble to you. You roll 2 fair, six-sided dice, and add up the results of each die to find your total number. If your roll totals a 5 or 7, your friend pays you $10. If you roll any other total, you pay your friend $4. What is your expected payoff from playing this game 100 times

Respuesta :

michell96

The payoff if you gamble 100 times is 22 dollars.

What is the probability of getting a 5 or a 7?

When you roll two dices, there are 36 different probabilities. Based on this number let's find out the probability of getting a 5 or a 7.

  • 5= 1+4 / 4+1 /2+3 /3+2
  • 7= 1+6/6+1 /2+5/ 5+2/3+4/4+3

This means the probability is 10/36 or  0,277 or 27%.

How many times will you probably win?

If you play 100 times you will win 27 times, this means you will get $270. In the same way, you will lose 73 times and this means you will pay $292.

This means the payoff would be -22 dollars (292-270=22).

Learn more about probabilities in: https://brainly.com/question/795909

Otras preguntas