Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Probability

NDA 2022 · Mathematics · Probability

Three fair dice are thrown. What is the probability of getting a...

Three fair dice are thrown. What is the probability of getting a total greater than or equal to 15 ?

Options

  1. A19216\frac{19}{216}
  2. B112\frac{1}{12}
  3. C17216\frac{17}{216}
  4. D554\frac{5}{54}

Correct answer

D. 554\frac{5}{54}

Step-by-step solution

n(s)=6×6×6=216n(s)=6 \times 6 \times 6=216 Sum greater than or equal to 15 i.e. 15,16,17,1815,16,17,18 are (4,5,6)→6(4,5,6) \rightarrow 6 ways; (5,5,6)→3(5,5,6) \rightarrow 3 ways; (5,5,5)→1(5,5,5) \rightarrow 1 way; (6,6,3)→3(6,6,3) \rightarrow 3 ways (6,6,4)→3(6,6,4) \rightarrow 3 ways; (6,6,5)→3(6,6,5) \rightarrow 3 ways; (6,6,6)→1(6,6,6)\rightarrow 1 way ∴n(E)=20P(E)=20216=554\therefore n(E)=20P(E)=\frac{20}{216}=\frac{5}{54}
Practice Probability on Quantrex Academy →

More from Probability

Passage: Four dice are rolled. Question: What is the probability that getting a total of… NDA 2026Three events A , B and C are such that A and B are disjoint, A and C are independent, B… NDA 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and… NDA 2026Passage: Four dice are rolled. Question: What is the probability that getting a total of… NDA 2026For a Binomial distribution with mean 6 and standard deviation 2 , what is the value of… NDA 2026Passage: A 4-digit number is selected at random formed by using the digits 0 , 1 , 2 , 3… NDA 2026In an entrance test there are multiple choice questions. There are four options for each… NDA 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and… NDA 2026Consider the following statements in respect of the events A , B , C : I. (A B C) ( A B C… NDA 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and… NDA 2026The probability that a family owns a laptop is 0.68 ; that it also owns a desktop is 0.56… NDA 2025An urn contains 10 white and 5 red balls. If two balls are drawn at random, then what is… NDA 2025An urn contains 5 white, 6 red and 4 blue balls. Three balls are drawn at random. What is… NDA 2025Under which of the following conditions may binomial distribution be used? I. The number… NDA 2025Three faces of a die are black, two faces are white and one face is red. The die is… NDA 2025A person X speaks the truth 4 out of 5 times and person Y speaks the truth 5 out of 6… NDA 2025 Full Probability list Probability JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs