Mathematics, 22.02.2020 00:58 queen582

. In the game of blackjack as played in casinos in Las Vegas, Atlantic City, Niagara Falls, as well as many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a hand is about 45%. Assume each hand is independent. Find the probability that the average player wins a. twice in 5 hands b. ten or more times in 25 hands

Answers: 3

Show answers

Answers

Answer from: halliehedman

a) Threfore, the probability is P=0.337.

b) Threfore, the probability is P=0.77481.

Step-by-step explanation:

We know that the probability that the average player wins a hand is about 45%. Assume each hand is independent.

a) We calculate the probability that the average player wins twice in 5 hands.

We know that p=0.45 ⇒ q=1-0.45=0.55

$P=C_2^5\cdot 0.45^2\codt 0.55^3\\\\P=\frac{5!}{2!(5-2)!}\cdot 0.0337\\\\P=10\cdot 0.0337\\\\P=0.337$

Threfore, the probability is P=0.337.

b) We calculate the probability that the average player wins ten or more times in 25 hands. We get

$P=P(x\geq10)\\\\=1-P(x$

Threfore, the probability is P=0.77481.

Answer from: floressavanna15

The probability that the average player wins twice in 5 hands is 33.32%, while the probability that the average player wins ten or more times in 25 hands is 83.33%.

Since in the game of blackjack the probability that the average player wins a hand is about 45%, to find the probability that the average player wins A) twice in 5 hands, and B) ten or more times in 25 hands, you must perform the following calculation, applying the binomial distribution theory:

A) P (2) = (5! / 2! 3!) X (0.45) 2 x (0.55) 3 = 0.3332 x 100 = 33.32% B) P (10) = (25! / 10! 15!) X (0.45) 10 x (0.55) 15 = 0.8333 x 100 = 83.33%

Therefore, the probability that the average player wins twice in 5 hands is 33.32%, while the probability that the average player wins ten or more times in 25 hands is 83.33%.

Learn more in link

. In the game of blackjack as played in casinos in Las Vegas, Atlantic City, Niagara Falls, as well

Answer from: Quest

use an equation of ratios to determine the amount of gas needed to fill the tank.

0.2 0.8

288.75 x

231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal $3

* = $3465 (answer)

1 1 gal

hope this you

Answer from: Quest

)because it's going in order of the math sign

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 19:00, michellectucker1982

What is the explicit formula for this sequence? -7, -4, -1, 2, a.) an = 8 + (b - 1)3 b.) an = -7 + (n - 1)3 c.) an = 3 + (n -1) (-7) d.) an = -7 + (n - )

Answers: 1

continue

Mathematics, 21.06.2019 19:30, gwendallinesikes

Use multiples to write two fractions equivalent to 7/9. 14/18, 8/10 6/8, 21/27 10/12, 28/36 14/18, 21/27

Answers: 1

continue

Mathematics, 21.06.2019 21:20, naenae6775

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.

Answers: 2

continue

Mathematics, 21.06.2019 22:00, Ezonthekid

What is the value of the discriminant of the quadratic equation -2x = -8x + 8 and what does its value mean about thenumber of real number solutions the equation has?

Answers: 3

continue

You know the right answer?

. In the game of blackjack as played in casinos in Las Vegas, Atlantic City, Niagara Falls, as well...