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.
A. 2/6
B. 1/3
C. 3/2
D. 2/3
To find the probability of picking a consonant, we need to first identify the consonants in the sample space. In this case, the consonants are {b, c, d, f}, which gives us 4 consonants.
The total number of outcomes in the sample space is 6.
Therefore, the probability of picking a consonant is 4/6 = 2/3.
So, the correct answer is:
D. 2/3
Use the uniform probability model to find the probability of selecting a vowel letter from the word MODELS.
here is the model:
M O D E L S
1/6 1/6 1/6 1/6 1/6 1/6
answer choices-
A. 1/6
B. 2/3
C. 1/3
D. 1/36
To find the probability of selecting a vowel letter from the word MODELS using the uniform probability model provided, we need to identify the vowels in the word. The vowels in MODELS are O and E.
According to the model, the probabilities associated with selecting O and E are both 1/6.
Adding the probabilities of selecting O and E:
P(O) + P(E) = 1/6 + 1/6 = 2/6 = 1/3.
Therefore, the correct answer is:
C. 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?
A. 12
B. 10
C. 1/120
D. 1/10
Since the deck has 10 cards labeled 1-10, with each card having an equal probability of being selected, the probability of selecting the number 5 is 1/10.
If the experiment is repeated 120 times, the expected number of times you will select the number 5 can be calculated by multiplying the probability of selecting it by the number of times the experiment is repeated:
Expected number of times = (Probability of selecting number 5) * (Number of repetitions)
Expected number of times = (1/10) * 120 = 12
Therefore, you would expect to select number 5 12 times out of 120 repetitions.
So, the correct answer is:
A. 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?
A. 6/0
B. 1/6
C. 0
D. 1
The letters in the box are H, O, N, E, S, T. As there is no letter A in the box, the probability of selecting the letter A is 0.
Therefore, the correct answer is:
C. 0