Q2) Paul the octopus who has been forecasting the outcome
of FIFA world cup matches with tremendous accuracy has now
been invited to predict ICC world cup matches in 2011. We
will assume that the world cup contenders have been divided
into 2 groups of 9 teams each. Each team in a group plays
the other teams in the group. The top two teams from each
group enter the semi finals ( after which the winner is
decided by knockout).
However, Paul has a soft spot for India and when
India plays any team, Paul always backs India. Alas, his
predictions on matches involving India are right only 2 out
of 3 times. In order to qualify for the semi finals, it is
sufficient for India to win 7 of its group matches. What is
the probability that India will win the ICC world cup
Answers were Sorted based on User's Feedback
Answer / desikan
d. (2/3)^10 + 8/3*(2/3)^9
We have two chances to win the world cup. Either India can win all 10matches 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 7mathces 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)
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, Case1+Case 2= (2/3)^10 + 8/3 * (2/3)^9
Is This Answer Correct ? | 135 Yes | 5 No |
Two trains are traveling at 18kmph and are 60 km apart. There is flying in the train. It flies at 80kmph. It flies and hits the second train and then it starts to oscillate between the two trains. At one instance when the two trains colloide it dies. At what distance travel by the fly.
There are three persons A,B,C .A shots the target 6 times out of 7 shots .B shots 4 out of 5 shots .Then what is the probability of hitting the target twice when 2 persons are selected at random.
Ajay and Vijay ave their salaries in the ratio of 2:3. If each of their salaries are increased by Rs 4000, the new ration comes to be 40:57. How much is the present salary of Vijay?
There are some houses in a street back to back. And they that house behind 10 were 23. How many houses in the street?
two bowls are taken, one contains water and another contains tea equal amount . One spoon of water from 1st is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the 1st bowl. Which statement will hold good for the above?
Find sqrt of 113 up to 3 decimal places.
In your opinion, what is the most beautiful math equation ever derived?
The owner of a hobby store needed to calculate the percentage of customers who purchase wood glue. Upon completing his survey, he noticed that 60% of the people that entered his store purchased an item. Of those customers, 15 percent purchased wood glue. What percent of the people that entered the store purchased wood glue? a) 8% b) 7% c) 9% d) 12% e) 15%
WRITE ABOUT A RECENT HOLIDAY EXPERIENCE
19.) When two unbiased dice are tossed simultaneously, the numbers that appear on the top surface of the two dice are a and b.What is the probability that a^b is a perfect square? (a^b=a to the power of b) a)1/3 b)2/3 c)23/36 d)11/18 ans: 20.) When two unbiased dice are tossed simultaneously, the numbers that appear on the top surface of the two dice are a and b.What is the probability that (a × b) is a perfect square? a)5/36 b) 2/9 c) 7/36 d) 1/6
find 70.56/ 11.2 =?
70% of people reads morning news paper 40% of people reads evening newspaper 20% of people reads neither morning nor evening newspapers 1 prob who reads at least one newspaper 2 prob who reads both newspaper 3 prob who reads only one newspaper