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5 red and 5 black balls. a ball is drawn at random, its colour is noted and is returned to the urn. moreover, 2 additional balls of the colour drawn are put in the urn and then a ball is drawn at random. what is the probability that the second ball is red?
@btsarmy.....
u know am always
5 red and 5 black balls. a ball is drawn at random, its colour is noted and is returned to the urn. moreover, 2 additional balls of the colour drawn are put in the urn and then a ball is drawn at random. what is the probability that the second ball is red?
@btsarmy.....
u know am always
Answers & Comments
Explanation:
Forests act as a natural absorber of rainwater and allows it to seep because of roots of trees. When rainwater falls on leaves of trees and plants, it does not fall directly on the ground. It drips slowly on the forest ground (does not stagnate) and hence prevents floods.
Answer:
Step -1: Define and identify probability distribution of random variable.
The urn contains 5 red and 5 black balls.let a red ball be drawn in the first attempt.
∴ P( drawing a red ball) = 5/10=1/2
If two red balls are added to urn, then the urn contains 7red and 5 black balls.
If two red balls are added to urn, then the urn contains 7red and 5 black balls. ∴ P( drawing a red ball) = 7/12
P( drawing a black ball in first attempt ) =5/10=1/2
If two black balls are added to urn, then the urn contains 5 red and 7 black balls.
If two black balls are added to urn, then the urn contains 5 red and 7 black balls. ∴ P( drawing a red ball ) = 5/12
Step -2: Calculate the probability of drawing second ball as red.
= (1/2)×(7/12)×(1/2)×(5/12)
= (1/2)[(7/12)×(5/12)]
=(1/2)[(7+5)/12]
=(1/2)1
=1/2
=0.5
Hence , The probability of drawing second ball as red is 0.5.