A bag contains 36 red​ blocks, 49 green​ blocks, 23 yellow​ blocks, and 17 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability.

​P(green or purple​)
​P(green or purple​)=

1 answer

The total number of blocks in the bag is 36 + 49 + 23 + 17 = 125.

The number of green blocks is 49 and the number of purple blocks is 17.

Therefore, P(green or purple) = (Number of green blocks + Number of purple blocks) / Total number of blocks
P(green or purple) = (49 + 17) / 125
P(green or purple) = 66 / 125
P(green or purple) = 0.528

So, the theoretical probability of picking a green or purple block from the bag is 0.528.