You mix the letters S, E, M, I, T, R, O, P, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability that you select a vowel. Write your answer as a fraction in simplest form.
(1 point)
twelve-fifths
Start fraction 5 over 12 End fraction
start fraction 1 over 3 end fraction
start fraction 7 over 12 end fraction
There are 12 letters in total, and 5 of them are vowels (E, I, O, U, and A). Therefore, the probability of selecting a vowel is 5/12.
Answer: Start fraction 5 over 12 End fraction
You roll a standard number cube once. Find P(0). (1 point)
7/6
1
1/2
0
Explain
P(0) means the probability of rolling a zero, but a standard number cube only has the numbers 1, 2, 3, 4, 5, and 6 on its faces. So, the probability of rolling a zero is 0.
Answer: 0
Use the following information for problems 3 and 4.
From a barrel of colored marbles, you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles.
3. Find the experimental probability of randomly selecting a marble that is not yellow. Write your answer in simplest form. (1 point)
A.1/30
B.5/6
C.2/15
D.1/6
There are 30 marbles in total, and 5 of them are yellow. So, there are 25 marbles that are not yellow. Therefore, the experimental probability of randomly selecting a marble that is not yellow is 25/30, which simplifies to 5/6.
Answer: B. 5/6
From a barrel of colored marbles, you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles.
4. Find the experimental probability of randomly selecting a marble that is either green or purple. Write your answer in simplest form. (1 point)
one-tenth
one-fifth
one-third
two-fifteenths
There are 30 marbles in total, and 6 of them are green or purple. Therefore, the experimental probability of randomly selecting a marble that is either green or purple is 6/30, which simplifies to 1/5.
Answer: B. one-fifth
Clarissa is having lunch at a sandwich shop. She can choose white bread or pumpernickel bread. Her options for fillings are turkey, tuna, ham, or egg salad. Her choices for condiments are mayonnaise, salad dressing, or mustard. How many different sandwich choices does Clarissa have? (1 point)
36
6
24
12
Clarissa has 2 choices of bread, 4 choices of fillings, and 3 choices of condiments. To find the total number of sandwich choices, we multiply the number of choices for each category:
2 choices of bread × 4 choices of fillings × 3 choices of condiments = 24
Therefore, Clarissa has 24 different sandwich choices.
Answer: C. 24
Janelle wants to buy a shirt for a friend. Her choices of material are polyester and cotton. Shirts are available in yellow, orange, and blue. Make an organized list showing the different choices Janelle has. (1 point)
six clothing options
three clothing options
five clothing options
six clothing options