A. 1/6
B. 5/8
C. 3/8
D. 5/6
Explanation:
P(at least one graduate) = 1 – P(no graduates) =
1 – ⁶C₃/¹⁰C₃ = 1 – (6 * 5 * 4)/(10 * 9 * 8) = 5/6
Related Mcqs:
- If six persons sit in a row, then the probability that three particular persons are always together is____________?
A. 1/20
B. 3/10
C. 1/5
D. 4/5 - The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
A. 55 kg
B. 62 kg
C. 56 kg
D. None - The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
A. 30 Years
B. 31 years
C. 26 years
D. 33 years - The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is__________?
A. 0.4869
B. 0.5904
C. 0.6234
D. 0.5834 - A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
A. ²²C₁₀
B. ²²C₁₀ + 1
C. ²²C₉ + ¹⁰C₁
D. ²²C₁₀ – 1 - A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in_______days.
A. 5 5⁄11
B. 4 5⁄11
C. 6 4⁄11
D. 6 5⁄11 - The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
A. 21
B. 22
C. 23
D. 24 - The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?
A. 21/25
B. 17/25
C. 4/25
D. 8/25 - Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is_____________?
A. 1/2
B. 16/19
C. 4/5
D. 17/20 - The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
A. 18/35
B. 12/35
C. 17/35
D. 19/35
