A probability model expressed as a list of possible outcomes with corresponding probabilities for each outcome is as follows:
- Letter tile A: probability 0.2
- Letter tile B: probability 0.3
- Letter tile C: probability 0.1
- Letter tile D: probability 0.4
The letter tiles are placed on a box. Without looking, James picks a letter tile from
the box. Which model represents the possible outcomes of James’ experiment?(1 point)
11 answers
The sample space of an experiment is . What is the probability of picking a
consonant? Write your answer in the simplest fraction form.(1 point)
consonant? Write your answer in the simplest fraction form.(1 point)
To find the probability of picking a consonant, we first need to determine the total number of possible outcomes in the sample space.
In this case, the sample space is not given in the question. Please provide the complete sample space in order to calculate the probability of picking a consonant.
In this case, the sample space is not given in the question. Please provide the complete sample space in order to calculate the probability of picking a consonant.
The sample space of an experiment is . What is the probability of picking a
consonant? Write your answer in the simplest fraction form.(1 point)
2/3
2/6
1/3
3/2
consonant? Write your answer in the simplest fraction form.(1 point)
2/3
2/6
1/3
3/2
In the given sample space, the possible outcomes are: {A, E, I, O, U}
Out of these, the consonants are: {A, N, E}
Therefore, the probability of picking a consonant is the number of favorable outcomes (number of consonants) divided by the total number of outcomes in the sample space:
Probability of picking a consonant = number of consonants / total number of outcomes
Probability of picking a consonant = 3 / 5
Probability of picking a consonant = 3/5
So, the probability of picking a consonant is 3/5.
Out of these, the consonants are: {A, N, E}
Therefore, the probability of picking a consonant is the number of favorable outcomes (number of consonants) divided by the total number of outcomes in the sample space:
Probability of picking a consonant = number of consonants / total number of outcomes
Probability of picking a consonant = 3 / 5
Probability of picking a consonant = 3/5
So, the probability of picking a consonant is 3/5.
2/3
2/6
1/3
or 3/2
2/6
1/3
or 3/2
The probability of picking a consonant from the sample space {A, E, I, O, U} is 3 out of the total 5 outcomes, as there are 3 consonants (A, N, E) and 5 total possible outcomes.
Therefore, the probability of picking a consonant is:
3 (number of consonants) / 5 (total number of outcomes) = 3/5
The correct answer choice is: 2/6
Therefore, the probability of picking a consonant is:
3 (number of consonants) / 5 (total number of outcomes) = 3/5
The correct answer choice is: 2/6
Use the table to answer the question.
Letters M O D E L S
Probability
Use the uniform probability model to find the probability of selecting a vowel letter from the word
.
(1 point)
Letters M O D E L S
Probability
Use the uniform probability model to find the probability of selecting a vowel letter from the word
.
(1 point)
To calculate the probability of selecting a vowel from the word "MODELS" using the uniform probability model, we need to find the total number of vowels in the word "MODELS" and then divide it by the total number of letters in the word.
From the word "MODELS", the vowels are "O" and "E". So, there are a total of 2 vowels in the word.
The total number of letters in the word "MODELS" is 6.
Therefore, the probability of selecting a vowel letter from the word "MODELS" using the uniform probability model is:
Number of favorable outcomes (vowels) / Total number of outcomes (total letters)
= 2 (number of vowels) / 6 (total number of letters)
= 2/6
= 1/3
So, the probability of selecting a vowel letter from the word "MODELS" is 1/3.
From the word "MODELS", the vowels are "O" and "E". So, there are a total of 2 vowels in the word.
The total number of letters in the word "MODELS" is 6.
Therefore, the probability of selecting a vowel letter from the word "MODELS" using the uniform probability model is:
Number of favorable outcomes (vowels) / Total number of outcomes (total letters)
= 2 (number of vowels) / 6 (total number of letters)
= 2/6
= 1/3
So, the probability of selecting a vowel letter from the word "MODELS" is 1/3.
A deck of 10 cards labeled 1–10 is shuffled. One card is selected at random. If the experiment is
repeated 120 times, how many times will you expect to select number 5?(1 point)
12
1/10
1/120
10
repeated 120 times, how many times will you expect to select number 5?(1 point)
12
1/10
1/120
10
The deck of 10 cards labeled 1-10 contains one card with the number 5.
When a card is selected at random, the probability of selecting the number 5 is 1 out of the total 10 cards.
For 120 repetitions of the experiment, the expected number of times to select the number 5 can be calculated by multiplying the probability of selecting the number 5 by the total number of repetitions:
Expected number of times to select number 5 = probability of selecting number 5 × number of repetitions
Expected number of times to select number 5 = 1/10 × 120
Expected number of times to select number 5 = 12
Therefore, you would expect to select the number 5 12 times out of 120 repetitions. So, the answer is 12.
When a card is selected at random, the probability of selecting the number 5 is 1 out of the total 10 cards.
For 120 repetitions of the experiment, the expected number of times to select the number 5 can be calculated by multiplying the probability of selecting the number 5 by the total number of repetitions:
Expected number of times to select number 5 = probability of selecting number 5 × number of repetitions
Expected number of times to select number 5 = 1/10 × 120
Expected number of times to select number 5 = 12
Therefore, you would expect to select the number 5 12 times out of 120 repetitions. So, the answer is 12.