Problem

You are to randomly pick one disk from a bag that contains the disks shown below. Find $\mathrm{P}$ (yellow|star), the probability of picking a disk that is yellow, given that the disk has a star. Find $\mathrm{P}$ (yellow|star). $\mathrm{P}($ yellow $\mid$ star $)=$ (Simplify your answer.)

Solution

Step 1 :The problem is asking for the probability of picking a disk that is yellow, given that the disk has a star. This is denoted as \(\mathrm{P}(\text{yellow} | \text{star})\).

Step 2 :To find this probability, we divide the number of yellow disks with a star by the total number of disks with a star.

Step 3 :From the given information, we know that there are 3 yellow disks with a star and a total of 5 disks with a star.

Step 4 :So, \(\mathrm{P}(\text{yellow} | \text{star}) = \frac{\text{number of yellow disks with a star}}{\text{total number of disks with a star}} = \frac{3}{5} = 0.6\).

Step 5 :Final Answer: The probability of picking a disk that is yellow, given that the disk has a star is \(\boxed{0.6}\).

From Solvely APP
Source: https://solvelyapp.com/problems/7348/

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