English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

Xenya, Yolanda and Zoë are having a race. Yolanda is 1.2 times as likely to win as Xenya, and Zoë is 2.3 times as likely to win as Yolanda. What is the probability that Yolanda wins?

2007-02-25 04:00:19 · 12 answers · asked by Anonymous in Science & Mathematics Mathematics

12 answers

The probability would be 100% if she would just do a Tonya Harding on both Xenya and Zoe. She should take charge and do it.

(Put that in your homework, I guarantee an A for creative thinking.)

Long Live Jambi

2007-02-25 04:03:55 · answer #1 · answered by Anonymous · 1 2

Das Kaushik shows the right method, but he has worked out the probability of X - which is Xenya.

Use the same method of substitution, but find P(Y) which is the probability of Yolanda winning.

2007-02-25 13:20:20 · answer #2 · answered by Valmiki 4 · 0 0

Y = 1.2 X
Z = 2.3 Y

Thus Z = 2.3x1.2 X; i.e. Z = 2.76 X

X+Y+Z = (1+1.2+2.76) X = 4.96X

Probability is therefore 1.2/4.96 which is approx 0.241935

Therefore the percentage probability is approx 24.1935 percent.

I hope this helps.

2007-02-27 14:43:09 · answer #3 · answered by general_ego 3 · 0 0

the answer is 3 to 1

2007-02-25 12:06:45 · answer #4 · answered by Anonymous · 0 2

X+Y+Z=100

Y=1.2X
Z=2.3Y

Y/1.2+Y+2.3Y=100 Y=24.2%

2007-02-25 12:03:59 · answer #5 · answered by Rob M 4 · 0 2

let X be the smallest, then Y= 1,2X and more on Z=2,3Y= 2,3(1,2X)=2,76X
=> X+1,2X+2,76X=1
=> 4,96X=1
=> X=1/4,96
=> Y=1,2/4,96
=> Y=0,2419354...
=> Y=24 %

2007-02-25 15:19:19 · answer #6 · answered by dippidappi 2 · 0 0

I keep getting 24.19% or 0.2419 probability but I am probably doing it wrong.

based on:
xenya + yolanda + zoe = 100%

x + 1.2x + 2.3(1.2x) = 100 ??????

2007-02-25 12:10:28 · answer #7 · answered by Orinoco 3 · 0 1

I have just worked this out, and it seems DAS_KAUSHIK_CAL has done it exactly the same way- so just follow him. He has omitted the final calculation which comes out as

24.19%

That is a guarantee, I am a Mathematics research student, I should know.

2007-02-25 13:02:47 · answer #8 · answered by apadar 2 · 0 2

Lets put symbols to names
Xenya = X, Yolanda = Y, Z = Zoä
We are given
P(Y) = 1.2*P(X)
P(Z) = 2.3*P(Y)
We know by definition,
P(X)+P(Y)+P(Z) =1
i.e., P(X)+1.2*P(X)+2.3*P(Z)=1
i.e,, 2.2*P(X)+2.3*1.2*P(X)=1
i.e., 2.2*P(X)+2.76*P(X)=1
i.e., 4.96*P(X)=1
i.e., P(X)=1/4.96
Hope this answers your question

2007-02-25 12:10:46 · answer #9 · answered by Kaushik Das 3 · 0 2

Whoa. Ask a bookie.

2007-02-25 12:02:06 · answer #10 · answered by KC Slim 5 · 1 1

fedest.com, questions and answers