Question

A bag contains 3 gold marbles, 10 silver marbles, and 23 black marbles. You randomly select one marblefrom the bag. What is the probability that you select a gold marble? Write your answer as a reduced fractionPlgold marble)

Answer 1

P(gold marble) = 1/12

Step-by-step explanation

In total, there are:

`3+10+23=36`

36 marbles in the bag, where only 3 are gold marbles.

The probability is:

`P(\text{event)}=\frac{\#\text{times the event can happen}}{\#\text{posible outcomes}}`

In this case, the number of posible outcomes is 36, because there are 36 marbles in the bag. The number of times the event can happen is 3, because there are 3 gold marbles:

`P(\text{gold marble)}=(3)/(36)=(1)/(12)`