Question

A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white

1. The probability of this occurring is 4C2/5C2 = 3/5
What is the meaning of probability in math?
• Probability is simply how likely something is to happen.
• Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
• The analysis of events governed by probability is called statistics.
Three Types of Probability-
• Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).
• Relative Frequency Definition
• Subjective Probability
Let’s assume we don’t stop picking until all of the chips are picked.
To satisfy this condition, we have to arrange the letters: W, W, R, R, R such that both W’s appear in the first 4.
We find the number of ways to arrange the white chips in the first 4 and divide that by the total ways to choose all the chips.
Therefore, the probability of this occurring is 4C2/5C2 = 3/5