Probability Without Replacement: Picking Marbles Explained

Now that we've removed one red marble from our jar, let's see how this affects our probabilities.In our jar, we now have 4 red marbles and 5 blue marbles, making a total of 9 marbles.To find our new probabilities, we divide the number of each color by the total number of marbles.For red marbles, the probability is now four ninths, while for blue marbles, it's five ninths.Notice how removing a red marble has decreased the probability of drawing another red, while increasing the probability of drawing a blue marble.These changing probabilities will affect our chances of drawing specific sequences of marbles.