this table shows the colors of the 4 scarves, 3 pairs of gloves, and 2 hats that tamara has. Tamara randomly picks a scarf, hat, and a pair of gloves. what is the probability of Tamara choosing a pair of black gloves and a brown scarf? plssss help me and explain!!!!!!

a. 1/20
b. 1/8
c. 1/16
d. 1/12

the table :

scarf             gloves            hat
__________________________
red                 black            white
white              brown            red
brown             red                
black



Respuesta :

We should each breakdown the probability first for scarves, gloves and hat. 
Probability of choosing brown scarf = 1/4
Probability of choosing black gloves = 1/3
There may be no specification of the hat so it is still random, any color of the two hats is possible.

Multiply these probabilities together:
1/4 x 1/3 x 2 = 1/6

The probability of this combination of clothes together is 1/6