Question
What is the probability that Wye will speak truth for a
particular question asked? There are three people – Axe, Wye and Zed. Probability that Axe speaks the truth is 7/20, probability that Wye speaks the truth is 3/5 and probability that Zed speaks truth is 5/6. For a particular question asked, at most 2 people speak truth. All people answer to a particular question asked.Solution
In any case Wye speaks truth. Now at most 2 people speaks truth for 1 question. So case (1) : Wye and Axe speaks truth Probability = 3/5 × 7/20 × (1-5/6) = 7/200 Case (2) : Wye and Zed speaks truth Probability = 3/5 × 5/6 × (1-7/20) = 13/40 Case (3) : only Wye speaks truth Probability = 3/5 × (1-5/6) × (1-7/20) = 13/200 Add the three cases, we get = 7/200+ 13/40+ 13/200 = 7/40
- The selling price of an item when it is sold at a profit of 30% is Rs. 650. Find the percentage loss if the item is sold for Rs. 500.
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 6√2 cm?
- In a school election between two contestant’s 'A' and 'B', 'A' secured 62% of the total votes and won by 7,440 votes. Find how many votes 'B' got.?
Ravi’ spends 60% of his income whereas ‘Karan’ spends 80% of his income. If each of them saves Rs. 6,000, then find the total expenses...
- A number '71945b' is divisible by 6, but not by 5. What is the value of (b² + 1)?
The average of 16 numbers is 82. The average of the first 8 numbers is 90, while the average of the last 9 numbers is 75. If the 8th number is removed, ...
- The average age of Neha and her uncle at present is 40 years. Neha's age 5 years from now will be one-fourth of the present age of her uncle. What is the c...
- Three years ago, the ratio of Meena's age to Neha’s age 1 year from now was 3:5. If their average present age is 25 years, what is the difference between...
- There are 80 students in a school team, where the number of girls is 16 more than the number of boys. If 50 more students join the team, out of which 60% a...
- In a contest between two nominees 'X' and 'Y', 10% of all the votes were found to be invalid. If 'X' secured 60% of the valid votes and 'Y' got 21,600 vali...