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In a large firm, the pool of applicants for thepositions of sales manager and sales associateconsists of three men and three women. If eachcandidate has an equal chance of being selected,what is the probability that both positions will befilled by men?(A) 0.20(B) 0.25(C) 0.33(D) 0.50

Answer :

Answer:

(A) 0.20

Step-by-step explanation:

For calculate the probability that both positions will be filled by men, we need to find the total ways in which we can select two positions from the 3  applicants that are men and divide this by the total ways in which we can select two positions from the six applicants.

So, the total ways in which we can select two positions from the six applicants is calculate using the rule of multiplication as:

____6_       __    *               5              =    30      

Sales manager       Sales Associate

Because we have 6 applicants for sales manager and then 5 applicants for sales associate.

At the same way, the total ways in which we can select two positions from the 3  applicants that are men is calculate as:

____3_       __    *               2              =    6      

Sales manager       Sales Associate

Because we have 3 applicants for sales manager that are men and then 2 applicants for sales associate.

Finally the probability can be calculated as a division between 6 and 30 as:

6/30 = 0.20

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Answer:

The probability that both positions will be occupied by men is 0.20. option(A) is the correct answer

Step-by-step explanation:

From the question given, Let us recall the following statements.

In a large firm, the pool of n a large firm, the pool of applicants for the positions of sales manager and sales associate consist of = 3 men and 3 women

M = 3, W = 3 , M = men, W = women

The next step is to find he probability that both positions will be filled by men

Now,

P (both positions to be occupied by men will be ) = 3/6 * 2/5 = 0.20

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