In a cosmetics company , there are 5 engineers out of 20 officers.
In a cosmetics company , there are 5 engineers out of 20 officers. If 3 officers are picked at random, what is the probability that all are engineers.
Answer/Solution
1/114
Steps/Work
Explanation :
No. of engineer = 5.
No. of total non-engineer = 15.
Total no. of officers = 20 of which 3 officers are picked.
P(all are engineers) =
=> No. of selection with restriction / No. of selection without restriction
=> 5C3 / 20C3 .
=> 10 / 1140.
=> 1 / 114.
Answer : B
No. of engineer = 5.
No. of total non-engineer = 15.
Total no. of officers = 20 of which 3 officers are picked.
P(all are engineers) =
=> No. of selection with restriction / No. of selection without restriction
=> 5C3 / 20C3 .
=> 10 / 1140.
=> 1 / 114.
Answer : B