Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • The probability of two students A and B coming to school on time are  and 

The probability of two students A and B coming to school on time are \frac{2}{7} and \frac{4}{7} ,  respectively. Assuming that the events ‘A coming on time’ and ‘B coming on time’ are independent, find the probability of only one of them coming to school on time.

 

 

 

 
 
 
 
 

Answers (1)

Let E1 : A comimg on time and 
      E2: B coming on time
Here p\left ( E_{1} \right )= \frac{2}{7},\; \; p\left ( \vec{E_{1}} \right )= \frac{5}{7}
        p\left ( E_{2} \right )= \frac{4}{7},\; \; p\left ( \vec{E_{2}} \right )= \frac{3}{7}
\therefore  p(only one on time) = p\left ( E_{1} \right )p\left ( \bar{E_{2}} \right )+p\left ( E_{2} \right )p\left ( \bar{E_{1}} \right )
                                     =\frac{2}{7}\times \frac{3}{7}+\frac{4}{7}\times \frac{5}{7}
                                     =\frac{26}{49}  
         

Posted by

Ravindra Pindel

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question