Rebecca has nine coloured beads in a bag. Four of the beads are black and the rest are green. She removes a bead at random from the bag and notes
the colour before replacing it. She then chooses a second bead. Calculate
the probability that Rebecca chooses: 2 green beads

2/9

Step-by-step explanation:

Since there are 9 beads in total, the denominator is 9, and so the probability of picking a black is 4/9 since there are 4 black beads. So 4/9 is the probability for picking a black bead. There are 5 more beads in the bag, because 9-4=5, so the probability that she will pick a green bead is 5/9. But that’s not what we are trying to solve. What we are trying to solve is the probability that she will choose 2 green beads. Since there are 9 total, that’s the denominator, and since she is only picking 2, then the probability in fraction form would be 2/9. 2/9 in a percentage is 22.222222(repeating)%.