Respuesta :
Answer:
The expected net winnings for the bet are -$1.0526
Step-by-step explanation:
P(x =+$20) = P(Black outcome) = 18/38
P(x =-$20) = P(red outcome) + P(green outcome)
= 18/38 + 2/38 = 20/38
Hence the probability distribution of x = $20 , P(x) = 18/38
x = -$20, P(x) = 20/38
Expected value of the random variable x is given by ;
miu = Summation [xP(x)] = 20(18/38) - 20( 20/38)
= -$1.0526
hence, the expected net winnings for the bet are -$1.0526
This implies that if a player bet on a very large number of games, the player would on the average lose $1.0526 per single bet
The Expected net winnings in case of a black outcome for the single bet is $9.47.
It is given that
Number of black-colored balls= 18
Number of red-colored balls =18
Number of green-colored balls = 2
Total balls = 38
What is probability?
Probability is to quantify the possibilities or chances.
The probability of a black outcome will be:
Number of black-colored balls/total balls
Probability of a black outcome = 18/38
Similarly, the probability of a red outcome = 18/38
Probability of a green outcome = 2/38
if someone makes a $20 bet on black,
Expected net winnings = probability of black outcome * 20
i.e. (18/38) * 20
Expected net winnings = $9.47 for single bet
Therefore, the Expected net winnings in case of a black outcome for the single bet is $9.47.
To get more about probability visit:
https://brainly.com/question/25870256