A bag contains 10 white balls and 15 black balls. Two balls are drawn in succession without replacement. What is the probability that
a) first is white and second is black?
b) one is white and other is black?
Answers
Answer:
a) 0.25
b) 0.50
Step-by-step explanation:
According to the question, the bag has 10 white balls and 15 black balls.
Also, 2 balls are drawn in succession without replacement.
let probability of white ball = P(A)
and probability of black ball = P(B)
a) We have to find P(A∩B) = P(A) * P(B/A)
= 10/25 * 15/24
= 150/600
= 0.25 [Ans]
b) One is white and one is black, it means we have to find the probability for different coloured balls.
probability of first ball white and second one black = 0.25 [We already have it]
probability of first ball black and second one white = P(B) * P(A/B)
= 15/25 * 10/24
= 0.25
Probability of one is white and other is black = 0.25 + 0.25 = 0.5 [Ans]