Bag A contains 2 white and 3 black balls. Bag B contains 5 white and 4 black balls. One ball is drawn at random from Bag B and is placed unseen in Bag A. a) What is the probability that a ball now drawn from Bag A is black? b) If the ball drawn from Bag A is black, find the probability that a white ball is transferred from Bag B into Bag A. c) If the ball drawn from Bag A is white, find the probability that a black ball was transferred from Bag B into Bag A
Bag A contains 2 white and 3 black balls. Bag B contains 5 white and 4 black balls. One ball is drawn at random from Bag B and is placed unseen in Bag A.
a) What is the
b) If the ball drawn from Bag A is black, find the probability that a white ball is transferred from Bag B into Bag A.
c) If the ball drawn from Bag A is white, find the probability that a black ball was transferred from Bag B into Bag A
Given that,
Bag A contains 2 white and 3 black balls.
Bag B contains 5 white and 4 black balls.
The event is drawing a black ball from bag A
The event is drawing a white ball from bag A
The event is drawing a white ball from bag B
The event is drawing a black ball from the bag B
The probability is the ratio of number of favorable outcomes of the event to the total number of outcomes.
The conditional probability for two events and is as follows,
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