JEE Exam  >  JEE Questions  >  There are 2 boxes. One box contains 3 white b... Start Learning for Free
There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black is
  • a)
    7/20
  • b)
    1/3
  • c)
    1/5
  • d)
    1/20
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
There are 2 boxes. One box contains 3 white balls and 2 black balls. T...
Box Probability Problem

Step 1: Find the probability of selecting each box
- There are 2 boxes, so the probability of selecting either box is 1/2 or 0.5.

Step 2: Find the probability of drawing a black ball from each box
- Box 1 contains 2 black balls out of a total of 5 balls. So, the probability of drawing a black ball from Box 1 is 2/5 or 0.4.
- Box 2 contains 3 black balls out of a total of 10 balls. So, the probability of drawing a black ball from Box 2 is 3/10 or 0.3.

Step 3: Find the overall probability of drawing a black ball
- To find the overall probability, we need to take into account the probability of selecting each box and the probability of drawing a black ball from that box.
- So, the overall probability of drawing a black ball is:
- P(Box 1) x P(Black ball from Box 1) + P(Box 2) x P(Black ball from Box 2)
- (0.5 x 0.4) + (0.5 x 0.3)
- 0.2 + 0.15
- 0.35 or 7/20

Step 4: Answer
- The probability of drawing a black ball is 7/20 or option A.
Explore Courses for JEE exam
There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer?
Question Description
There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer?.
Solutions for There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer?, a detailed solution for There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn, the probability that the ball drawn is black isa)7/20b)1/3c)1/5d)1/20Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev