Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is

Answers (1)

\begin{array}{l} \mathrm{A} \rightarrow \text { Maximum is } 6 \\ \mathrm{B} \rightarrow \text { Minimum is } 3 \\ \mathrm{P}(\mathrm{A})=\frac{{ }^{5} \mathrm{C}_{2}}{{ }^{8} \mathrm{C}_{3}} \\ \mathrm{P}(\mathrm{B})=\frac{{ }^{5} \mathrm{C}_{2}}{{ }^{8} \mathrm{C}_{3}} \\ \mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{{ }^{2} \mathrm{C}_{1}}{{ }^{8} \mathrm{C}_{3}}=\frac{\mathrm{P}(\mathrm{A} \cap \mathrm{B})}{\mathrm{P}(\mathrm{A})}=\frac{{ }^{2} \mathrm{C}_{1}}{{ }^{5} \mathrm{C}_{2}}=\frac{2}{10}=\frac{1}{5} \\ \mathrm{P}\left(\frac{\mathrm{B}}{\mathrm{A}}\right)=\frac{1}{2} \end{array}

Posted by

Satyajeet Kumar

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

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today
anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs
anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question