Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
hager
Group Title
A game is played in which three dice are rolled, and the number of “1”s that appear is recorded.
a) Determine the probability distribution for the random variable X, the number of “1”s in three rolls.
b) Suppose you win $1 if a “1” appears once, you win $2 if a “1” appears twice, and you win $3 if a “1” appears three times. However, if there are no “1”s rolled, then you lose $1. Calculate your expected winnings/losses from playing this game.
c) Is this game “fair”? Explain.
 one year ago
 one year ago
hager Group Title
A game is played in which three dice are rolled, and the number of “1”s that appear is recorded. a) Determine the probability distribution for the random variable X, the number of “1”s in three rolls. b) Suppose you win $1 if a “1” appears once, you win $2 if a “1” appears twice, and you win $3 if a “1” appears three times. However, if there are no “1”s rolled, then you lose $1. Calculate your expected winnings/losses from playing this game. c) Is this game “fair”? Explain.
 one year ago
 one year ago

This Question is Closed

kropot72 Group TitleBest ResponseYou've already chosen the best response.2
The probability of rolling a 1 on a die is 1/6 and the probability of not rolling a 1 on a die is 5/6. \[P(0\ 1s)=\frac{5}{6}\times \frac{5}{6}\times \frac{5}{6}\] \[P(1\ 1)=\frac{1}{6}\times \frac{5}{6}\times \frac{5}{6}\] \[P(2\ 1s)=\frac{1}{6}\times \frac{1}{6}\times \frac{5}{6}\] \[P(3\ 3s)=\frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}\]
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.