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?
A three column table is shown. The first column is titled 'Scarf' and contains 'Red,' 'White,' 'Brown,' and 'Black.' The second column is titled 'Gloves' and contains 'Black,' 'Brown,' and 'Red.' The third column is titled 'Hat' and contains 'White' and 'Red.'
(1 point)
one-fourth
one-eighth
one-tenth
start fraction 1 over 6 end fraction
The probability of choosing a brown pair of gloves is 1/3, as there are 3 options and only 1 of them is brown. The probability of choosing a red hat is 1/2, as there are 2 options and only 1 of them is red. The probability of choosing any scarf is 1, since she will definitely choose one. So, the probability of Tamara choosing a pair of brown gloves and a red hat is:
1/3 (for brown gloves) x 1/2 (for red hat) x 1 (for any scarf) = 1/6
Therefore, the answer is option D, one-sixth.
To find the probability of Tamara choosing a pair of brown gloves and a red hat, we need to consider the number of favorable outcomes and the total number of possible outcomes.
First, let's determine the total number of possible outcomes. Tamara has 4 scarves, 3 pairs of gloves, and 2 hats. To calculate the total number of possible outcomes, we multiply the number of options for each item: 4 scarves * 3 pairs of gloves * 2 hats = 24 possible outcomes.
Next, let's determine the number of favorable outcomes. Tamara wants to choose a pair of brown gloves (1 option) and a red hat (1 option). Therefore, the number of favorable outcomes is 1 * 1 = 1.
Finally, we can determine the probability by dividing the number of favorable outcomes by the total number of possible outcomes: 1 favorable outcome / 24 possible outcomes = 1/24.
Therefore, the probability of Tamara choosing a pair of brown gloves and a red hat is 1/24.
So the correct answer is: one-twenty fourth (1/24).