Question

A bag contains different colored beads. The probability of drawing two black beads from the bag without replacement is 3/35 , and the probability of drawing one black bead is 3/10 . What is the probability of drawing a second black bead, given that the first bead is black?

Answer 1

The answer is 2/7

Explanation:

Answer 2

let
P------> The probability of drawing two black beads from the bag without replacement
P1-----> the probability of drawing one black bead
P2----> the probability of drawing a second black bead, given that the first bead is black

we know that
P=P1*P2
P=3/35
P1=3/10
P2=?
P=P1*P2------> solve for P2
P2=P/P1----> P2=(3/35)/(3/10)------> P2=10/35----> P2=2/7

the answer is
2/7