Tamara likes to mix and match her 4 scarves (one red one white one brown and one black) 3 pairs of gloves (one black one brown and one red) and 2 hats (one white and one red). On Monday, she randomly picks out a pair of gloves. What is the probability of Tamara choosing a pair of brown gloves and a red hat?
The probability of Tamara choosing a pair of brown gloves is 1/3 since there are 3 pairs of gloves and only 1 pair is brown.
The probability of Tamara choosing a red hat is 1/2 since there are 2 hats and only 1 is red.
Since the events are independent (choosing a pair of gloves does not affect the probability of choosing a hat), we can multiply the probabilities:
1/3 x 1/2 = 1/6
Therefore, the probability of Tamara choosing a pair of brown gloves and a red hat is 1/6.