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?
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
