In the game of roulette, a player can place a $88 bet on the number 3232 and have a startfraction 1 over 38 endfraction 1 38 probability of winning. if the metal ball lands on 3232, the player gets to keep the $88 paid to play the game and the player is awarded an additional $280280. otherwise, the player is awarded nothing and the casino takes the player's $88. what is the expected value of the game to the player? if you played the game 1000 times, how much would you expect to lose?

The expected value of the game to the player is . A loss of $0.42105 is expected.

If you played the game 1000 times, the amount that you are expected to lose is

Step-by-step explanation:

From the information given we know:

There are 38 slots on a roulette wheel so the probability of losing is

We can find an expected value by multiplying each numerical outcome by the probability of that outcome and then summing those products together.

The expected value in dollars for this game is

A loss of $0.42105 is expected.

If you played the game 1000 times, the amount that you are expected to lose is

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.