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)

Respuesta :

ANSWER

P(gold marble) = 1/12

EXPLANATION

In total, there are:

[tex]3+10+23=36[/tex]

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

The probability is:

[tex]P(\text{event)}=\frac{\#\text{times the event can happen}}{\#\text{posible outcomes}}[/tex]

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:

[tex]P(\text{gold marble)}=\frac{3}{36}=\frac{1}{12}[/tex]