Question

A bag contains 31 red​ blocks, 49 green​ blocks, 24 yellow​ blocks, and 21 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability.

​P(green or red​)

Answer 1

Answer: The probability of picking a green block or red block is 0.64 (or 64%)

Step-by-step explanation: The total number of blocks can be derived as;

31 (R) + 49(G) + 24(Y) + 21(P) = 125

With 125 blocks in total, there are 125 possibilities and the possibility of picking any of the four colors shall be be determined as a fraction of the entire possible outcomes.

The probability of picking a green ball when picked at random is given as;

P(Green) = Number of required outcomes ÷ Number of all possible outcomes

P(Green) = 49/125

(Note that there are 49 green blocks and a total of 125 blocks of all four colors)

Also the probability of picking a red ball when picked at random is given as;

P(Red) = Number of required outcomes ÷ Number of all possible outcomes

P(Red) = 31/125

The probability of picking a green block or a red block is given as P(green or red)

P(Green or Red) = 49/125 + 31/125

P(Green or Red) = 80/125

P(Green or Red) = 16/25

P(Green or Red) = 0.64

Therefore the probability of picking a green or red block at random is 0.64 or 64%

Answer 2

16/25 or 0.64 or 64%

Explanation:

Please kindly check the attached file for explanation