A bag contains 35 red blocks, 48 green blocks, 23 yellow blocks, and 19 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability.
P(yellow or red)
P(yellow or red)=
The total number of blocks in the bag is 35 + 48 + 23 + 19 = 125.
The probability of picking a yellow block is 23/125 and the probability of picking a red block is 35/125.
When finding the probability of either yellow or red, we need to add the individual probabilities and subtract the intersection (yellow and red).
P(yellow or red) = P(yellow) + P(red) - P(yellow and red)
P(yellow or red) = 23/125 + 35/125 - 0/125
P(yellow or red) = 58/125
The theoretical probability of picking a yellow or red block from the bag is 58/125.