Rolling two fair dice At the Spring Bazaar Charity Fundraiser, you play a game in which you roll two dice. (All proceeds go to the charity.) The game costs $1 to play. If you roll a sum of 2, you win $4. If you roll a sum greater than 2 and at most 4, you win $1. If you roll a sum of 11, you win $0.50. If you roll a sum of 12, you must donate an additional $1 to the charity. If you roll any other sum, the game is over. Complete the table to find the expected value of this game from the point of view of the Spring Bazaar Fundraising committee. Round all dollar values to two decimal places. Event Value Probability Value x Probability sum of 2 $ $ 2
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Rolling two fair dice
At the Spring Bazaar Charity Fundraiser, you play a game in which you roll two dice. (All proceeds go to the charity.) The game costs $1 to play. If you roll a sum of 2, you win $4. If you roll a sum greater than 2 and at most 4, you win $1. If you roll a sum of 11, you win $0.50. If you roll a sum of 12, you must donate an additional $1 to the charity. If you roll any other sum, the game is over.
Complete the table to find the
Value | Probability | Value x Probability | |
sum of 2 | $ | $ | |
2<sum< 4 | $ | $ | |
$ | $ | ||
$ | $ | ||
$ | $ |
Expected Value = $ ____________ per play
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