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 simplest fraction form.
a. 2/6
b. 2/3
c. 1/3
d. 3/2
To find the probability of picking a consonant, we need to determine the number of consonants in the sample space and then divide that by the total number of elements in the sample space.
In this case, the consonants in the sample space {a, b, c, d, e, f} are b, c, d, and f. There are 4 consonants in the sample space.
Therefore, the probability of picking a consonant is 4/6.
Simplifying the fraction, we get 2/3.
Therefore, the answer is:
b. 2/3
To find the probability of selecting a vowel letter from the word "MODELS", we first need to determine the number of vowels in the word.
In the word "MODELS", the only vowel is the letter "O".
Given the probability model provided, the probability of selecting the vowel letter "O" is 1/6.
Therefore, the answer is:
a. 1/6
Since there are a total of 10 cards labeled 1-10 in the deck and each card is equally likely to be chosen, the probability of selecting the number 5 is 1/10.
If the experiment is repeated 120 times, we can find the expected number of times the number 5 will be selected by multiplying the probability of selecting 5 by the number of times the experiment is repeated:
Expected number of times selecting number 5 = (1/10) * 120
= 12
Therefore, the answer is:
c. 12
The letter "A" is not among the letters that are shuffled and placed in the box (H, O, N, E, S, T). Therefore, the probability of selecting the letter "A" is 0, as it is not part of the sample space.
Therefore, the answer is:
b. 0
Use the table to answer the question.
Letters M O D E L S
Probability 1/6 1/6 1/6 1/6 1/6 1/6
Use the uniform probability model to find the probability of selecting a vowel letter from the word MODELS
a. 1/6
b. 1/36
c. 1/3
d. 2/3
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?
a. 1/120
b. 1/10
c. 12
d. 10
Letters 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?
a. 1/6
b. 0
c. 6/0
d. 1