CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Classical Definition of Probability

There are m-s...

Question

There are m-stations on a railway line. A train has to stop at 3 intermediate stations. Then probability that no two stopping stations are adjacent is

A

\frac{1}{m c_{3}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

\frac{3}{m c_{3}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

\frac{m - 2_{C_{3}}}{m c_{3}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

\frac{m c_{2}}{m c_{3}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\frac{m - 2_{C_{3}}}{m c_{3}}$
Let 3-stopping stations be $S_{1}, S_{2}, S_{3}$ . Then there are m-3 stations remaining. Between these m-3 stations there are m-2 places. Select any 3 for $S_{1}, S_{2}, S_{3}$ , Then no two stopping stations are adjacent
$P (E) = \frac{m - 2_{C_{2}}}{m_{C_{3}}}$

Suggest Corrections

thumbs-up

3

Similar questions

12

intermediate stations on a railway line from one terminus to another. Number of ways in which a train can stop at 5 of these intermediate stations, if no two of these stopping stations are to be consecutive

p

intermediate stations on a railway line from one terminus to another. Let

^{(p - k)} C_{m}

be the number of ways a train can stop at

3

of these intermediate stations if no two of these stopping stations are to be consecutive.Find

k + m

12

intermediate stations on a railway line between two stations. The number of ways that a train can be made to stop at

4

of these intermediate stations, no two of these halting stations being consecutive is

p

intermediate stations on a railway line from one terminus to other. In how many ways can a train stop at

3

of these intermediate stations such that no two of them are consecutive?

Q. There are 12 intermediate stations on a railway line between 2 stations. The numbers of ways that a train can be made to stop at 4 of these intermediate stations no two of these halting stations being consecutive is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Defining Probability

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Classical Definition of Probability

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon