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3. there is a bag containing 10 red, 10 blue, and 10 yellow pieces of p…

Question

  1. there is a bag containing 10 red, 10 blue, and 10 yellow pieces of paper. each paper color is numbered from 1 to 10. how would you express the probability that you select a blue piece of paper given that it has a number 10 on it?

p(10|blue)
p(10)
p(blue)
p(blue|10)

Explanation:

Step1: Recall conditional probability notation

In probability, $P(A|B)$ represents the probability of event $A$ occurring given that event $B$ has already occurred.

Step2: Define events for the problem

Let event $A$ = selecting a blue piece of paper, event $B$ = selecting a piece numbered 10. We need the probability of $A$ given $B$.

Step3: Match to correct notation

This probability is written as $P(\text{blue}|10)$.

Answer:

P(blue|10)