Help
Contact
For teachers and institutes
Search courses, problems, tests…
A
A
>_
StemPy Lab
Courses ▾
Problems ▾
Practice ▾
Mock Tests
Classes
Community ▾
A
A
Aarav goes to school by bus and then by train. The tree… | StemPy Lab
Quizzes
/
Aarav goes to school by bus and then by train. The tree shows the chance that each is on time (O) or late (L). The chance for the train depends on how the bus ran. What is the probability that exactly one of the two journeys is late?
Mathematics
Medium
High School (11–12)
Statistics and Probability › Conditional Probability and Bayes' Theorem
AP
A-Level
IB
AEEE (Amrita)
AMUEEE
AP EAPCET
+16 more exams
BCECE
COMEDK UGET
GUJCET
JCECE
JKCET
KCET
KEAM
KIITEE
LPUNEST
MET (Manipal)
MHT-CET
OJEE
SRMJEEE
TS EAPCET
UPESEAT
Created by
StemPy Lab
Aarav goes to school by bus and then by train. The tree shows the chance that each is on time (O) or late (L). The chance for the train depends on how the bus ran. What is the probability that exactly one of the two journeys is late?
Fig. 1: A tree diagram with two stages. The bus is on time with probability 0.6 or late with 0.4. After an on-time bus, the train is on time with 0.65 or late with 0.35. After a late bus, the train is on time with 0.55 or late with 0.45. The four ends are labelled train on time or train late under each bus.
0.21
0.21
0.21
0.22
0.22
0.22
0.43
0.43
0.43
0.57
0.57
0.57
Check Answer
Log in to save
Tag someone
⚑ Report
← All Quizzes
← A raffle box holds 12 tickets, and 3 of them win a prize. Imran and Sofia each take one ticket, Imran first, and neither ticket is put back. What is the probability that exactly one of them wins a prize?
Two independent alarms guard a lab. The first rings in an emergency with probability 0.4. The probability that at least one of the two rings is 0.7. What is the probability that the second alarm rings? →
More on
Statistics and Probability › Conditional Probability and Bayes' Theorem
Discussion (0)
Log in
to join the discussion.
Loading…
VITEEE
All questions on this topic →
Problems on this topic
In a game, a prize is hidden behind one of five doors, chosen at random…
Advanced
A trace left at a scene is traced to a town of 20 000 people…
Hard
A test for an infection is positive for 95% of the people who have it…
Medium
A bag holds two coins. One is fair. The other has a head on both sides…
Medium
All problems on this topic →