heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and…

heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and 20 orange blocks. if she was to draw a block out of the bag, record the color and replace the block back in the bag, repeating 500 times, what would most likely be the probability of drawing an orange block (round to the nearest hundredth)? a 0.14 b 0.19 c 0.20 d 0.25 e 0.30

heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and 20 orange blocks. if she was to draw a block out of the bag, record the color and replace the block back in the bag, repeating 500 times, what would most likely be the probability of drawing an orange block (round to the nearest hundredth)? a 0.14 b 0.19 c 0.20 d 0.25 e 0.30

Answer

Explanation:

Step1: Calculate total number of blocks

$16 + 11+9 + 15+8 + 20=89$

Step2: Calculate probability of drawing orange block

The probability $P$ of drawing an orange block is the number of orange blocks divided by the total number of blocks. So $P=\frac{20}{89}\approx0.22$ (rounded to the nearest hundredth). But we can also note that the theoretical probability doesn't change with the number of trials. The probability of drawing an orange - block is $\frac{20}{16 + 11+9 + 15+8 + 20}=\frac{20}{89}\approx0.22$. Since we are asked for the closest value among the options, the closest value to $0.22$ is $0.20$.

Answer:

C. 0.20