Answer:
Step-by-step explanation:
Each drawer has a 50% chance of being chosen. 50% is 1/2
First drawer
There are 2 buttons this draw out of 3 items. The chance of getting a button here is 2/3
But there is only a 50% chance of choosing this drawer so the answer is
1/2 * 2/3 = 1/3
Second draw.
The chance of this draw yielding a button is 100%. But that is only if the draw is chosen.
So 1/2 * 1 = 1/2
The total probability is 1/3 + 1/2 = 2/6 + 3/6 = 5/6
The probability of getting a button = 5/6 or 0.8333
