Question

Three construction companies have bid for a job. Max knows that the two companies with which he is competing have probabilities 1/3 and 1/9, respectively, of getting the job. What is the probability that Max will get the job?

Answer 1

Answer:

0.5555 = 55.55% probability that Max will get the job.

Step-by-step explanation:

What is the probability that Max will get the job?

The sum of all probabilities is 100% = 1, so, considering Max's probability as x:

$x + \frac{1}{3} + \frac{1}{9} = 1$

$\frac{9x + 3 + 1}{9} = 1$

$9x + 4 = 9$

$9x = 5$

$x = \frac{5}{9}$

$x = 0.5555$

0.5555 = 55.55% probability that Max will get the job.

Answer 2

The max has probability of getting this job is x= 0.5555 and 55.55%

Suppose that ;

Max has probability of getting this job is = x

and other two companies have probability to get job is $\frac{1}{3} or \frac{1}{9}$.

Sum of the probability have bid a job is 100% which is equal to 1.

• The sum of the probabilities in a probability distribution is always 1.

• A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. Based on this definition, a probability distribution has two important properties that are always true:

According to given question ;

Sum of all the companies having probability to get the job = 1

$x + \frac{1}{3} + \frac{1}{9} = 1$

$\frac{9.x+1.3+1.1}{9} = 1\\9x+3+1 = 9.1\\9x+4 =9\\9x = 9-4\\9x = 5\\x = \frac{5}{9}$

x = 0.5555

The Max has probability of getting this job is x= 0.5555 or 55.55%

For the more information about probability click the link given below

https://brainly.com/question/14210034