Answer:
If the number of blue tiles in the bag is 180, then the probability of randomly drawing a red tile equal to 1/10.
Step-by-step explanation:
Total number of red tiles in a bag = 20
Let us assume the number of blue tiles in a bag = p
So, the total number of tiles in a bag = Red Tiles + Blue tiles
= 20 + p
Now, let us find the probability of drawing a red tile:
[tex]\textrm{The probability of drawing a red tile} = \frac{\textrm{Total Number of red tiles}}{\textrm{Total Tiles}}\\= \frac{20}{20 + p}[/tex]
But, here the probability of drawing a red tile = 1/10
[tex]\implies \frac{1}{10} = \frac{20}{20+p} \\\implies 20 + p = 200\\\implies p = 200- 20 = 180[/tex]
or, p = 180
Hence, if the number of blue tiles in the bag = 180, then the P Picking out a red tile ) is 1/10.
