Paul the octopus who has been forecasting the outcome of FIFA world cup matches with tremendous accuracy has now been

ans is : (2/3)^10 + (8/3)*(2/3)^9

given that prob. of India winning the match is 2/3.

taking that India wins the semi-final and final.Prob is (2/3)^2
this gets multiplied to the league stage...

in league stage, if India has won all the games, the prob. of winning is (2/3)^10 for the 10 matches played...

if India had lost anyone of the matches, the prob. is
(8/3)*(2/3)^9..
where 8(1/3) is the prob. of losing anyone of the 8 league matches.
14 years agoHelpfull: Yes(85) No(12)

probability of winning is 2/3
probability of failure=1-2/3=1/3
We have two chances to win the world cup.
Either India can win all 10 matches or Win 7 out of 8 group matches + win the semi final and final matches.
Case 1: To win all 10, probability is (2/3)^10.
Case 2: Probability of winning 7 matches out of 8= (2/3)^7
and Probability of Loosing the 1 match= 1/3. This process can occur in 8 ways. probability= 8*((2/3)^7 * 1/3)
and To win semi final and final match probability is (2/3)^2
Total probability=8*((2/3)^7 * 1/3) * (2/3)^2 = 8/3 * (2/3)^9.
So total probability, Case 1+Case 2= (2/3)^10 + 8/3 * (2/3)^9
10 years agoHelpfull: Yes(39) No(1)
can anyone make it clear? how 8 comes here?
10 years agoHelpfull: Yes(6) No(2)
Zero.
India will play 8 group matches.

Out of 6 matches, it will win only 4 matches as Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times.
If next 2 matches are also won by India, then it will win only 6 out of 8 group matches . But In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches.So India can not qualify for semifinals and hence no chance of winning world cup.
14 years agoHelpfull: Yes(3) No(75)
winning chance is 2/3,then losing chance is 1/3 per match.
india is won the worldcup only they selected in semi finals,and they have to enter semi's means they have to won atleast 7 matches out of 8 league matches.
winning chance is 2/3,then losing chance is 1/3 per match.
india is won the worldcup only they selected in semi finals,and they have to enter semi's means they have to won atleast 7 matches out of 8 league matches.
so there is two possibility of winning world cup for india.
1)one is winning all 8 league matches and win semi as well as final
or
2)second is winning 7 league matches
14 years agoHelpfull: Yes(3) No(9)
As Per the question says probability of winning is 2/3
so probability of failure=1-2/3=1/3
As per given condition we have two chances to win the world cup.
Either India can win all 10 matches or Win 7 out of 8 group matches + win the semi final and final matches.
Case 1: To win all 10, probability is (2/3)^10.
Case 2: Probability of winning 7 matches out of 8= (2/3)^7
and Probability of Loosing the 1 match= 1/3. This process can occur in 8 ways. probability= 8*((2/3)^7 * 1/3)
and To win semi final and final match probability is (2/3)^2
Total probability=8*((2/3)^7 * 1/3) * (2/3)^2 = 8/3 * (2/3)^9.
So total probability, Case 1+Case 2= (2/3)^10 + 8/3 * (2/3)^9
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9 years agoHelpfull: Yes(2) No(1)
for india to win the group stages (2/3*7/8)
then correspondingly 2/3 each for semis and final....
hence ((2/3)*(7/8)(2/3)(2/3)
hence the answer is (7/108)
14 years agoHelpfull: Yes(1) No(11)
(2/3)^10 + (8/3)*(2/3)^9
10 years agoHelpfull: Yes(1) No(2)
@Divya bcoz matches are to be played in its own group ,not with the other group So India will play with the rest of its group team.SO the given solutions by the Above guys are correct
9 years agoHelpfull: Yes(1) No(0)
The probability that Paul correctly picks the winner = (A's Chances of winning)x(Pauls picking the winner corectly) + (A's chances of loosing) x (Paul picks wrongly) = 2/3 ×2/3 +1/3 ×1/3 =59
9 years agoHelpfull: Yes(1) No(0)

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