Question

there are ten players standing in a row among whom are shahid and zafar.Find the probability that there are 2 or less than 2 players are in between shahid and zafar​

Answer 1

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Answer 2

The probability that there are 2 or less than 2 players between Shahid and Zafar​ is 8/45.

Given:

There are ten players standing in a row among whom are Shahid and Zafar.

To find:

The probability that there are 2 or less than 2 players between Shahid and Zafar.

Formula used:

Probability = Required number of ways / Total number of ways.

Step-by-step explanation:

Number of ways to arrange Shahid and Zafar are

=(8)(2)

=16 ways

Number of ways to arrange others are

=(10-2)!

=8! ways

The required number of ways = (16)(8!)

Since, there are ten players standing in a row.

Total number of ways to arrange these players = 10!

The probability that there are 2 or less than 2 players between Shahid and Zafar​ is

$=\frac{required number of ways}{total number of ways}$

$=\frac{(16)(8!)}{10!}$

$=\frac{8}{45}$

Hence, the probability that there are 2 or less than 2 players between Shahid and Zafar​ is 8/45.