Question

If the odds against​ Deborah's winning first prize in a chess tournament are 2 to 7​, what is the probability of the event that she will win first​ prize?(Type an integer or a​ fraction.)

Answer 1

Answer:

Probability of winning first prize by Deborah is,

$\frac{5}{7}$

Step-by-step explanation:

In the question,

The odds against the Deborah's winning the first prize in the chess tournament is given by the fraction or the possibility,

$Probability=\frac{2}{7}$

Now,

We need to find out the probability of an event in which she wins the first prize.

Now,

We are given the probability of losing of Deborah's first prize is,

$\frac{2}{7}$

So,

The probability of getting the first prize = 1 - Probability of not winning first prize

So,

$Probability\,of\,getting\,the\,first\,prize=1-\frac{2}{7}=\frac{5}{7}\\Probability\,of\,getting\,the\,first\,prize=\frac{5}{7}$

Therefore, the probability of winning first prize by Deborah is,

$\frac{5}{7}$

Answer 2

Answer:

Probability of winning the prize will be 0.222

Step-by-step explanation:

Odd against Deborah's winning the first prize are 2 to 7

Means ratio of unfavorable outcomes to favorable outcomes $=\frac{2}{7}$

Total number of outcomes = 2+7 =9

We have top find the probability of winning the first prize

So probability $=\frac{number\ of\ favorable\ outcomes}{total\ outcomes}=\frac{2}{9}=0.222$