Question
In a box, there are three different colour cubes: blue,
green, and orange. The sum of the number of green and blue cubes in the box equals the number of orange cubes. The probability of picking two blue cubes from the box is (1/22). If the total number of blue, green, and orange cubes in the box is 24, then find out the number of green cubes in the box.Solution
ATQ, Let's denote the number of blue, green, and orange cubes as ‘B’, ‘G’, and ‘O’ respectively. Given: G+B = O and B+G+O = 24. Probability of picking two blue cubes = (1/22) implies [B(B-1)]/(24x23) = 1/22. Simplifying: B(B-1) = 24. Solving the quadratic equation B²-B-24=0 gives B = 6 or B = -4 (discard the negative value). With B = 6, substitute back to find O = 24 - B - G = 24 - 6 - G = 18 - G. Since G+B = O, we get G + 6 = 18, thus G = 12. Number of green cubes = 12.
Which state government recently unveiled the 'Mukhyamantri Teerth Darshan Yojana,' a pilgrimage scheme for senior citizens of all religions?
The Central Government has recently announced an extension of maternity leave from 12 weeks to 26 weeks, but what specific scenario is eligible for six ...
The ratio of additional consumption to additional income is called ______.
Which is the largest national park in India?
In which event did Emma McKeon win her final Olympic gold medal at Paris 2024?
Who retained the title of Asia’s richest person according to the Hurun Global Rich List 2024?
In which of the following cities is the ‘Saptak Music Festival’ to celebrate Indian classical music usually held in the first week of January every ...
Which of the following organizations publishes the World Development Report?
Who provided a description of the utilization of handmade paper in the mountainous regions of Garhwal and Kumaon?
Dhirendra Ojha was recently appointed as the Director General of which organization?
Relevant for Exams:
