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

Answer:

$Bronze = \frac{1}{4}$

Step-by-step explanation:

Given

$Gold = \frac{5}{12}$

$Silver = \frac{1}{3}$

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

$Bronze = 1 - \frac{5}{12} - \frac{1}{3}$

Take LCM

$Bronze = \frac{12 - 5 - 4}{12}$

$Bronze = \frac{3}{12}$

$Bronze = \frac{1}{4}$

Hence:

The probability of picking bronze is

$Bronze = \frac{1}{4}$