Question
A bag contains 5 red and 3 black balls. One is drawn at
random. It is red. Then without replacement, another is drawn. What is the probability that it is also red?Solution
Let R1 be the event that the first ball drawn is red, and R2 be the event that the second ball drawn is red. We want to find the probability P(R2 ⣠R1), which is the probability that the second ball drawn is red given that the first ball drawn was red. Initially, the bag contains: Number of red balls = 5 Number of black balls = 3 Total number of balls = 5 + 3 = 8 In the first draw, one ball is drawn at random and it is red. After the first draw, the state of the bag is: Number of red balls remaining = 5 - 1 = 4 Number of black balls remaining = 3 Total number of balls remaining = 8 - 1 = 7 Now, for the second draw, we want to find the probability that the ball drawn is red, given the new contents of the bag. The number of favorable outcomes (drawing a red ball) is 4. The total number of possible outcomes (drawing any ball) is 7. The probability of drawing a red ball in the second draw, given that a red ball was drawn in the first draw, is:
What is the primary objective of Viksit Bharat Sankalp Yatra?
In Jhiroli of Bageshwar and Chandak of Pithoragarh, which of the following minerals is found?
āTulsi Ghat Restoration Projectā is launched by External affair Minister in which country
India has recently increased its power export to which neighboring country by an additional 251 MW?
Who has been recently removed from the Financial Action Task Force (FATF) grey list?
Under the PM Surya Ghar: Muft Bijli Yojana, what is the maximum collateral-free loan amount offered to beneficiaries?
What is the typical quantity of eggs released in a single menstrual cycle?
What does CPU stand for in the context of computers?
The Ministry of Information & Broadcasting has signed a partnership with which company in the field of Media, Entertainment, and Public Awareness?
India has been appointed as the Vice-Chair of which body under the Indo-Pacific Economic Framework for Prosperity (IPEF)?