Question

A bag contains 36 red, 48 green, 22 yellow, and 19 purple blocks. you pick one block from the bag at random. find each theoretical probability. p (green) p (not yellow) p (yellow or not green)

Answer 1

Probability is defined as the ratio of the successful events over total events. In this case an event is described as the color of block.

 

The total number of blocks present in the bag is:

total blocks = 36 + 48 + 22 + 19

total blocks = 125

 

So calculating for each theoretical probability:

 

P (green) = 48 / 125 = 0.384

 

P (not yellow) = P (red or green or purple)

P (not yellow) = (125 – 22) / 125 = 0.824

 

P (yellow or not green) = P (yellow or red or purple)

P (yellow or not green) = (125 – 48) / 125 = 0.616