Question

Q90 A computer firm must send a group of three specialists to give a technical presentation to a potential customer. Five such individuals are anxious to attend, but only two are considered to have strong interpersonal skills. Since the specialists have equal levels of seniority, they have agreed to place their names in a hat and allow management to randomly select the three to attend the presentation. What is the probability that there will be at least one person with strong interpersonal skills among the group that is sent? [1 Mark]

DO NOT WRITE THE ANSWER - USE WORD FORMAT. IF THE ANSWER IS HANDWRITTEN, A POOR RATING WILL BE GIVEN. THE ANSWER NEEDS TO BE IN WORD FORMAT.

Answer 1

Number of individuals who have strong interpersonal skills = 2

Number of individuals who do not have strong interpersonal skills = 3

Total individuals = 5

Number of individuals selected = 3

Number of ways of selecting 3 individuals from 5 individuals is given by;

P( at least one person with strong interpersonal skills among the group that is sent) = 1 - P(No person with strong interpersonal skills among the group that is sent)

Number of ways of selecting 3 individuals who do not have strong interpersonal skills from 3 individuals who do not have strong interpersonal skills is given by:

So,

P(No person with strong interpersonal skills among the group that is sent) = 1/10 = 0.1

So,

P( at least one person with strong interpersonal skills among the group that is sent) = 1 - P(No person with strong interpersonal skills among the group that is sent)

= 1 - 0.1

= 0.9

So,

Answer is:

0.9