The letter tiles S, M, I, L, E 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)
Responses
A bar chart is titled Probability of Picking a Letter from the Word SMILE. The chart is plotted for outcomes on the x-axis against probability on the y-axis. The x-axis shows bars for the individual letters S, M, I, L, and E. The y-axis for probability ranges from 0 to 0.35 in increments of 0.05. The probability of each of the letters is as follows: S is 0.15, M is 0.20, I is 0.30, L is 0.20, and E is 0.15.
Image with alt text: A bar chart is titled Probability of Picking a Letter from the Word SMILE. The chart is plotted for outcomes on the x-axis against probability on the y-axis. The x-axis shows bars for the individual letters S, M, I, L, and E. The y-axis for probability ranges from 0 to 0.35 in increments of 0.05. The probability of each of the letters is as follows: S is 0.15, M is 0.20, I is 0.30, L is 0.20, and E is 0.15.
A bar chart is titled Probability of Picking a Letter from the Word SMILE. The chart is plotted for outcomes on the x-axis against probability on the y-axis. The x-axis shows bars for the individual letters S, M, I, L, and E. The y-axis for probability ranges from 0 to 0.25 in increments of 0.05. The probability of each of the letters S, M, I, L, and E is approximately 0.20.
Image with alt text: A bar chart is titled Probability of Picking a Letter from the Word SMILE. The chart is plotted for outcomes on the x-axis against probability on the y-axis. The x-axis shows bars for the individual letters S, M, I, L, and E. The y-axis for probability ranges from 0 to 0.25 in increments of 0.05. The probability of each of the letters S, M, I, L, and E is approximately 0.20.
A bar chart is titled Probability of Picking a Letter from the Word SMILE. The chart is plotted for outcomes on the x-axis against probability on the y-axis. The x-axis shows bars for the individual letters M, I, L, and E. The y-axis for probability ranges from 0 to 1.2 in increments of 0.2. The probability of each of the letters M, I, L, and E is 1 percent.
Image with alt text: A bar chart is titled Probability of Picking a Letter from the Word SMILE. The chart is plotted for outcomes on the x-axis against probability on the y-axis. The x-axis shows bars for the individual letters M, I, L, and E. The y-axis for probability ranges from 0 to 1.2 in increments of 0.2. The probability of each of the letters M, I, L, and E is 1 percent.
A bar chart is titled Probability of Picking a Letter from the Word SMILE. The chart is plotted for outcomes on the x-axis against probability on the y-axis. The x-axis shows bars for the individual letters M, I, L and E. The y-axis for probability ranges from 0 percent to 25 percent in increments of 5 percent. The probability of each of the letters M, I, L and E is 20 percent.
Image with alt text: A bar chart is titled Probability of Picking a Letter from the Word SMILE. The chart is plotted for outcomes on the x-axis against probability on the y-axis. The x-axis shows bars for the individual letters M, I, L and E. The y-axis for probability ranges from 0 percent to 25 percent in increments of 5 percent. The probability of each of the letters M, I, L and E is 20 percent.
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The model that represents the possible outcomes of James' experiment is the first one. It shows the probability of picking each letter (S, M, I, L, and E) from the box.
The sample space of an experiment is S={a, b, c, d, e, f} . What is the probability of picking a consonant? Write your answer in the simplest fraction form.(1 point)
Responses
32
Start Fraction 3 over 2 End Fraction
13
Start Fraction 1 over 3 End Fraction
23
Start Fraction 2 over 3 End Fraction
26
In the sample space S, there are 6 outcomes: a, b, c, d, e, f. Of these, the consonants are b, c, d, and f (since they are not vowels a and e).
Therefore, the probability of picking a consonant is 4 (number of consonants) out of 6 (total number of outcomes), which simplifies to 2/3.
So, the answer is 23 (2/3) in simplest fraction form.
Use the table to answer the question.
Letters M O D E L S
Probability 16 16 16 16 16 16
Use the uniform probability model to find the probability of selecting a vowel letter from the word MODELS .
(1 point)
Responses
136
Start Fraction 1 over 36 End Fraction
13
Start Fraction 1 over 3 End Fraction
23
Start Fraction 2 over 3 End Fraction
16
In the word MODELS, the vowels are O and E. According to the given uniform probability model, the probability of selecting any specific letter is 1/6.
Since there are 2 vowels (O and E) out of the 6 total letters in the word MODELS, the probability of selecting a vowel letter is 2 * (1/6) = 2/6 = 1/3.
So, the answer is 13 (1/3) in simplest fraction form.
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)
Responses
1120
Start Fraction 1 over 120 End Fraction
12
12
10
10
110
In a deck of 10 cards labeled 1-10, the probability of selecting the number 5 is 1/10 (since there is only one 5 card out of 10 total cards).
To find the expected number of times the number 5 will be selected in 120 trials, we use the formula:
Expected value = Probability of event * Number of trials
Expected value = (1/10) * 120 = 12
Therefore, you would expect to select the number 5 12 times in 120 trials.
So the answer is 12.
Letter tiles H, O, N, E, S, T are shuffled and placed in a box. A letter is selected at random. What is the probability of selecting letter A ?(1 point)
Responses
60
Start Fraction 6 over 0 End Fraction
16
Start Fraction 1 over 6 End Fraction
0
0
1
The letter "A" is not among the letter tiles H, O, N, E, S, T that are shuffled and placed in the box. Therefore, the probability of selecting the letter "A" is 0.
So, the answer is 0.