Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red b

A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back. The probability of getting two black balls and one red ball is

Option: 1

\frac{3}{8}


Option: 2

\frac{2}{15}


Option: 3

\frac{15}{28}


Option: 4

\frac{1}{2}


Answers (1)

best_answer

Box \rightarrow 5 black, 3 Red

\mathrm{\begin{aligned} P(2 B, 1 R)= & P(B, B, R)+P(B, R, B) \\ & +P(R, B, B) \end{aligned}}

\begin{aligned} & =\frac{5}{8} \times \frac{4}{7} \times \frac{3}{6}+\frac{5}{8} \times \frac{3}{7} \times \frac{4}{6}+\frac{3}{8} \times \frac{5}{7} \times \frac{4}{6} \\ & =3 \times \frac{5 \times 4 \times 3}{8 \times 7 \times 6} \end{aligned}

\mathrm{P\left ( 2B,1R \right )}=\frac{15}{28}

Posted by

manish painkra

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 2026: JCECEB invites fresh applications for Jharkhand state merit list correction

Latest Question