The table shows the number of skirts of different colors in a closet. A fair coin is shown below the table.
Color of
Skirt Number
Yellow
5
Blue
8
Green
4
Pink
3
A coin
Maria selects a skirt from the closet randomly without looking and then tosses the fair coin. What is the probability that she will select a yellow skirt and that the coin will land tails up?
(5 points)
Group of answer choices
1 over 5
1 over 8
1 over 20
1 over 10
To find the probability that Maria will select a yellow skirt and the coin will land tails up, we first need to find the total number of options.
Total number of yellow skirts = 5
Total number of skirts of all colors = 5 + 8 + 4 + 3 = 20
Total number of options = Total number of yellow skirts * 2 (for heads and tails) = 5 * 2 = 10
Now, the number of ways she can select a yellow skirt and the coin lands tails up = 1 (yellow skirt) * 1 (tails up) = 1
Therefore, the probability that she will select a yellow skirt and the coin will land tails up = Number of ways she can select a yellow skirt and the coin lands tails up / Total number of options = 1 / 10 = 1 over 10
Therefore, the answer is 1 over 10.