A committee of 4 is to be formed from 3 engineers, 4 economics, 2 statistics and1 chartered accountant. Find probability that each committee consist of chartered accountant and at least one engineer?
Answers
Answer:
Find probability that each committee consist of chartered accountant and at least one engineer? . Add answer+5 pts.
Step-by-step explanation:
Given that there are in all 3 engineers, 4 economist, 2 statistician and 1 chartered accountant.
Total number of samples n = 10
r = number of random selection
The probability 'P' that the committee of 4 team members consists of one chartered accountant and at least one economist is given by the following sets of possibilities -
Based on various combinations for selection from individual groups we get,
P = \frac {Total\ no\ of\ favorable\ outcomes\ in\ various\ combinations}{Total\ number \ of\ outcomes}
Total number of outcomes
Total no of favorable outcomes in various combinations
P = { {1C1x4C1x3C1x2C1} + {1C1x4C1x3C2x2C0} + {1C1x4C1x3C0x2C2} + {1C1x4C2x3C1x2C0} + {1C1x4C2x3C0x2C1} + {1C1x4C3x3C0x2C0} } / 10C4
By using the formula for combination nCr = \frac {n!}{r!(n-r)!}
r!(n−r)!
n!
Substituting the value of probabilities in the above equation we get,
P = 0.35238