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 a green block (round to the nearest hundredth)?
Its 0.25
its0.19
To determine the probability of drawing a green block, we need to divide the number of green blocks by the total number of blocks.
First, let's find the total number of blocks:
16 (red) + 11 (blue) + 9 (purple) + 15 (green) + 8 (yellow) + 20 (orange) = 79
There are a total of 79 blocks in the bag.
Next, we need to find the probability of drawing a green block.
Probability = Number of green blocks / Total number of blocks
Probability = 15 / 79
Now, let's calculate the probability:
Probability = 0.1898 (rounded to four decimal places)
Rounding to the nearest hundredth, the probability of drawing a green block is approximately 0.19.
If you replace, then the drawings are independent.
16 + 11 + 9 + 15 + 8 + 20 = sum
green = 15
so
p(green) = 15/sum