Tamara likes to mix and match her 4 scarves, 3 pairs of gloves, and 2 hats. the colors are in the table. on monday, she randomly picks out a scarf, hat, and a pair of gloves. what is the probability of tamara choosing a pair of brown gloves and a red hat?

scarf:
red
white
brown
black

gloves:
black
brown
red

hat:
white
red

1/4
1/8
1/10
1/6 *

We will use the rule of multiplying the probability of the first event by the probability of the second event to find the probability of Tamara choosing a pair of brown gloves and a red hat, P(A and B) = P(A) * P(B)

In choosing a pair of brown gloves:
*Number of favorable outcome = 1*Number of all possible outcome = 3 
The probability of choosing a pair of brown gloves is 1/3, P(A) = 1/3

In choosing a red hat:
*Number of favorable outcome = 1*Number of all possible outcome = 2

The probability of choosing a red hat is 1/2, P(B) = 1/2

P(A and B) = P(A) * P(B)
P(A and B) = (1/3)(1/2)
P(A and B) = 1/6

The probability of choosing a brown gloves and a red hat is 1/6