Question

A bag contains 5 red and 4 pink marbles.Two are drawn without replacement. what is the probability that both are red .​

Answer 1

Answer:

Let A be the event that first marble is white.

let B be the event that second marble is white.

Let C be the event that first marble is not white.

Applying Bayes theorem

P(A/B)=(P(B/A)P(A))/(P(B/A)P(A)+P(B/C)P(C))

therefore,

P(A/B)= (4/9 xx 3/8)/((4/9 xx 3/8)+(5/9 xx 4/8))=12/32