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.
There are 12 letters in total, and 4 of them are vowels (E, I, O, and A). Therefore, the probability of selecting a vowel is 4/12 or 1/3.
You roll a standard number cube once. Find P (0)
The outcome of rolling a standard number cube cannot be 0. The possible outcomes are 1, 2, 3, 4, 5, and 6. Therefore, P(0) is 0.
From a barrel of colored marbles, you randomly select; 7 blue, 5 yellow 8 red, 4 green, and 6 purple marbles. Find the probability of randomly selecting a marble that is either; green or purple written in simplest form.
There are 4 green marbles and 6 purple marbles, so there are a total of 4 + 6 = 10 marbles that are either green or purple.
The total number of marbles is 7 + 5 + 8 + 4 + 6 = 30.
Therefore, the probability of randomly selecting a marble that is either green or purple is 10/30 or 1/3 when simplified.
From a barrel of colored marbles, you randomly select; 7 blue, 5 yellow 8 red, 4 green, and 6 purple marbles. Find the probability of randomly selecting a marble that is not yellow written in simplest form.
There are 7 blue, 8 red, 4 green, and 6 purple marbles, so there are a total of 7 + 8 + 4 + 6 = 25 marbles that are not yellow.
The total number of marbles is 7 + 5 + 8 + 4 + 6 = 30.
Therefore, the probability of randomly selecting a marble that is not yellow is 25/30 or 5/6 when simplified.
Clara is having lunch at a sandwich shop. She can choose either whitebread or pumpernickel bread her options for filling are; Turkey, ham, egg salad, or tuna. Her choices of condiments; Mayonnaise, salad dressing, or mustard. How many different sandwich choices does Clara have?
To calculate the total number of sandwich choices, you need to multiply the number of options for the bread, filling, and condiments.
- Bread: 2 options (white bread or pumpernickel bread)
- Filling: 4 options (turkey, ham, egg salad, or tuna)
- Condiments: 3 options (mayonnaise, salad dressing, or mustard)
To get the total number of sandwich choices, multiply the options for each category:
2 (bread options) x 4 (filling options) x 3 (condiment options) = 24
Therefore, Clara has 24 different sandwich choices to choose from.
First question, I see 5 letters that are vowels, so
prob(vowel) = 5/12