1. 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. From a fraction to simplest form.

12/5
5/12
1/3
7/12

2. You roll a standard cube once. Fine P(0)
7/6
1
1/2
0

3. This question is for 3 and 4. From a barrel of colored marbles you randomly select 7 blue 5 yellow 8 red 4 green and 6 purples. Find the experimental probability of randomly selecting a marble that is not yellow.
1/30
5/6
2/15
1/6

4. Find the experimental probability selecting a marble that is either green or purple.
1/10
1/5
1/3
2/15

5. Jenny is having lunch at a sandwich shop. She can choose white bread or pumpernickel bread. Her options for filling are turkey, tuna, ham, or egg salad. Her choices for condiments are mayo, salad dressing, or mustard. How many different sandwich choices can Jenny have?
36
6
24
12

B

D
B
C
C
A
B
B
And for the open response:
There is two different sizes, four different colors, and three different ribbons you can choose from. Knowing this you can do the equation 2 x 4 x 3 = 24 which is the amount of ways to choose a balloon.

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1.5/12

What are the answers

1. Answer is 5/12

1. To find the probability of selecting a vowel, we need to count the number of vowels in the set of letters: S E M I T R O P I C A L.

There are 4 vowels in the set: E, I, O, and A.

The total number of letters in the set is 15.

Therefore, the probability of selecting a vowel is 4/15. However, the question asks for the fraction in simplest form. To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.

So the simplified fraction is 4/15.

Therefore, the correct answer is 4/15.

2. When rolling a standard cube, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.

The probability of rolling a specific number is 1/6 since there is only one way to get that specific number.

In this case, we want to find the probability of rolling a 0, which is not a possible outcome on a standard cube.

Therefore, the probability of rolling a 0 is 0.

Therefore, the correct answer is 0.

3. To find the experimental probability of randomly selecting a marble that is not yellow, we need to count the number of marbles that are not yellow and divide it by the total number of marbles.

The number of marbles that are not yellow is: 7 (blue) + 8 (red) + 4 (green) + 6 (purple) = 25

The total number of marbles is: 7 (blue) + 5 (yellow) + 8 (red) + 4 (green) + 6 (purple) = 30

Therefore, the experimental probability of randomly selecting a marble that is not yellow is 25/30. However, the question asks for the fraction in simplest form.

The greatest common divisor of 25 and 30 is 5. Dividing both the numerator and the denominator by 5, we get 5/6.

Therefore, the correct answer is 5/6.

4. To find the experimental probability of selecting a marble that is either green or purple, we need to count the number of marbles that are green or purple and divide it by the total number of marbles.

The number of marbles that are green or purple is: 4 (green) + 6 (purple) = 10.

The total number of marbles is: 7 (blue) + 5 (yellow) + 8 (red) + 4 (green) + 6 (purple) = 30.

Therefore, the experimental probability of selecting a marble that is either green or purple is 10/30. However, the question asks for the fraction in simplest form.

The greatest common divisor of 10 and 30 is 10. Dividing both the numerator and the denominator by 10, we get 1/3.

Therefore, the correct answer is 1/3.

5. To find the number of different sandwich choices Jenny can have, we need to multiply the number of options for each component of the sandwich: bread, filling, and condiments.

For the bread, she has 2 options: white bread or pumpernickel bread.

For the filling, she has 4 options: turkey, tuna, ham, or egg salad.

For the condiments, she has 3 options: mayo, salad dressing, or mustard.

Multiplying these together, we get: 2 (bread options) * 4 (filling options) * 3 (condiment options) = 24.

Therefore, Jenny can have 24 different sandwich choices.

Therefore, the correct answer is 24.

What are your answers?