In the game of roulette, a player can place a $10 bet on the number 19 and have a StartFraction 1 Over 38 EndFraction probability of winning. If the metal ball lands on 19, the player gets to keep the $10 paid to play the game and the player is awarded an additional $350. Otherwise, the player is awarded nothing and the casino takes the player's $10. 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? Note that the expected value is the amount, on average, one would expect to gain or lose each game.

(a)-$0.53

(b)$530

Step-by-step explanation:

If the player wins the game, he gets a profit of $350.

If the player losses the game, he gets a profit of -$10.

Probability of Winning

Probability of Loosing

(a)Expected Value of the game

The expected value of the game to the player is -$0.53.

(b)If the game is played 1000 times

Expected Loss = 0.53 X 1000

=$530

The player should expect to lose approximately $530 if he plays the game 1000 times.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.