NDA 2025
- Exam
- NDA
- Year
- 2025
- Subject
- Mathematics
- Chapter
- Probability
NDA 2025 · Mathematics · Probability
An urn contains 5 white, 6 red and 4 blue balls. Three balls are...
An urn contains 5 white, 6 red and 4 blue balls. Three balls are drawn at random. What is the probability that a white ball, a red ball and a blue ball are drawn?
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
Total number of balls in the urn =
Total number of ways to draw 3 balls from 15 balls = ^{15}C_{3} =
Number of ways to draw 1 white, 1 red and 1 blue ball = ^{5}C_{1} \times ^{6}C_{1} \times ^{4}C_{1} = 5 \times 6 \times 4 = 120
Total number of ways to draw 3 balls from 15 balls = ^{15}C_{3} =
Number of ways to draw 1 white, 1 red and 1 blue ball = ^{5}C_{1} \times ^{6}C_{1} \times ^{4}C_{1} = 5 \times 6 \times 4 = 120