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.

Question

​P(yellow or red​)
​P(yellow or red​)=

Answer 1

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.