Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A bag contains 6 balls. Two balls are drawn from it at random and both are found to be black. The probability that the bag contains at least 5 black balls is<stro

A bag contains 6 balls. Two balls are drawn from it at random and both are found to be black. The
probability that the bag contains at least 5 black balls is

Option: 1

\frac{3}{7}


Option: 2

\frac{5}{7}


Option: 3

\frac{5}{6}


Option: 4

\frac{2}{7}


Answers (1)

best_answer

\begin{gathered} \text { Probability }=\frac{{ }^3 \mathrm{C}_2+{ }^6 \mathrm{C}_2}{{ }^2 \mathrm{C}_2+{ }^3 \mathrm{C}_2+{ }^4 \mathrm{C}_2+{ }^5 \mathrm{C}_2+{ }^6 \mathrm{C}_2} \\ =\frac{10+15}{1+3+6+10+15} \\ =\frac{5}{7} \end{gathered}

Posted by

HARSH KANKARIA

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: BTech CSE cut-offs for PwD candidates at NITs make entry easy; top institutes still selective
anam-khan

73 or 99 percentile? JEE Main result questioned, J-K candidate says, ‘Don’t create hype’
anam-khan

JEE Main 2025: 11 from Kota coaching centres among 24 students with 100 percentile

Latest Question