Question

A sack full of medals contains gold, silver, and bronze. If selected at random, the probability of picking a gold medal is 5/12. The probability of picking a silver medal is 1/3. What is the probability of picking a bronze medal

Answer 1

`Bronze = (1)/(4)`

Explanation:

Given

`Gold = (5)/(12)`

`Silver = (1)/(3)`

Required

Determine the probability of Bronze medal

In probability, sum is always equal to 1

i.e.

`Gold + Silver + Bronze = 1`

Make Bronze the subject

`Bronze = 1 - Gold - Silver`

Substitute values for Gold and Silver

`Bronze = 1 - (5)/(12) - (1)/(3)`

Take LCM

`Bronze = (12 - 5 - 4)/(12)`

`Bronze = (3)/(12)`

`Bronze = (1)/(4)`

Hence:

The probability of picking bronze is

`Bronze = (1)/(4)`