Math, asked by lakshmi252012, 11 months ago

A,B,C,D,E play the following game.each person picks one card from card numbered 1 through 10.the person who picks the greatest numbered card loses and is out of the game.now the remaining four return their cards to the packk and draw again and again the person with the greatest numbered card loses.this process is repeated till only one person is left in the game who is declared as the winner.what is the probability that A is the winner?
a) 3/4 b)4/17 c)1/5 d)5/24​

Answers

Answered by amitnrw
13

Given : A, B, C, D and E play the following game. Each person picks one card from cards numbered 1 through 10. The person who picks the greatest numbered card loses and is out of the game. Now the remaining four return their cards to the pack and draw again, and until one player left

To Find :  Probability that A is winner

Solution:

Simple method :  5 players

Each have equal chance to win

hence 1/5

Probability that A is the winner = 1/5

Detailed method

A is the winner if he did not lose any game

in 1st game 5 players

Probability that A looses = 1/5

Probability that A does not loose  =  1 - 1/5 = 4/5

in 2nd game 4 players are there

Probability that A looses = 1/4

Probability that A does not loose  =  1 - 1/4 = 3/4

in 3rd game 3 players are there

Probability that A looses = 1/3

Probability that A does not loose  =  1 - 1/3 = 2/3

in 4th game 2 players are there

Probability that A looses = 1/2

Probability that A does not loose  =  1 - 1/2 = 1/2

Probability that A wins = (4/5) (3/4) (2/3) ( 1/2)

= 1/5

Probability that A wins = 1/5

Learn More:

In a Family of 3 children find probability of having at least one boy ...

https://brainly.in/question/7700718

plz help me to solve 9 a d 10 questions .The accurate answer will be ...

https://brainly.in/question/7340749

If probability is 0.55 that a person will believe in a piece of fake news ...

https://brainly.in/question/19591686

Similar questions