A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the proba polity that one bead of each colour is taken?

Question

Need to show my working.. been stuck on this question for my homework for a while now. Answer as a decimal or fraction.

Answer 1

A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the proba polity that one bead of each colour is taken?

 

The probability of the first draw is 100%, because the bead will be either red or white.  For the second draw, a different color must be drawn.

 

So, if draw 1 is white, then the probability of draw 2 being red is 7/10.  and if the first draw is red, then the probability of draw two being white is 5/10.