Question
A bag contains 7 green balls, 5 blue balls, and 10
yellow balls. A box contains 3 green balls and 8 yellow balls. A ball is randomly drawn from the box and put into the bag, and then a ball is randomly drawn from the bag. Find the probability that the ball is of yellow color.Solution
ATQ, Bag: 22 balls (10 yellow). Box: 11 balls (8 yellow, 3 green). Case 1: A yellow ball is added to the bag. Probability of drawing yellow from the box: 8/11. Bag ha 11 yellow out of 23 balls: 11/23. Contribution: 8/11, 11/23 = 88/253.
Case 2: A green ball is added to the bag. Probability of drawing green from the box: 3/11 Bag has 10 yellow out of 23 balls = 10/23 Contribution: 3/11, 10/23 = 30/253 .
Total Probability:
Find the median of 2, 8, 6, 6, 7, 9, 5, 12 and 13.
87.5% of the voters in State 'P'Â is equivalent to 10/11 of the voters in State 'Q', and 10/11 of the voters in State 'Q' is equal to 93.75% of the vot...
The mean of 12 numbers is 15. When two additional numbers, x and y , are included, the average increases by 1. Given that the difference between x and y...
- Determine the remainder when
The difference between the value of the number increased by 20% and the value of the number decreased by 30% is 120. Find the number.
How many numbers lie between 2000 and 3000 divisible by 5 can be made with the digits 2, 3, 4, 5, 6, 7 and 8 without repeating any digit?
If two numbers add up to 12 and the sum of their cubes is 1728, then what is the product of the two numbers?
If p and q are real numbers such that p2 + (p - 2q - 1)2 = - 4q(p + q), then the value p - 2q is
If the 4-digit number y29z is exactly divisible by 9, what is the least value of (y + z)?
Find the remainder when the number (256n + 105) is divided by 16.
Relevant for Exams:
