Question

Two players P and Q play a chess match. It is known that the probability that P wins the match is 3/7. Find the probability that Q matches.​

Answer 1

A wins the series the following ways. In all these cases the last match has been win by A
(a) A wins all the games in a row. The number of ways. =1
(b) A wins the last game on the remaining 4 games played. A wins three games while B wins one.
The no. of ways .
3!
4!
​

.
3!
4×3!
​
.4
(c) A wins the last game on the remaining 5 games played. A wins three while B wins two.
The number of ways .
3!.2!
5!
​
=10.
(d) A wins the last game on the remaining 6 games played. A wins three while B wins three.
The number of ways .
3!.3!
5!
​
=20
∴ The total no. of ways in which the series can be won by A=1+4+10+20=35







Plz follow and mark as brainlist