The sample space of an experiment is S={1,2,3} . Each outcome is equally likely to occur with a probability of 1/3 . What is the probability of picking number 2 or 3? Write your answer in the simplest form of a fraction.(1 point)
Since both 2 and 3 are in the sample space, the probability of picking number 2 or 3 is the sum of the probabilities of each outcome:
P(2 or 3) = P(2) + P(3) = 1/3 + 1/3 = 2/3
Therefore, the probability of picking number 2 or 3 is 2/3.
Mr. Lim has a bag with some marbles colored red, yellow, green, blue, and white. The marbles are identical in number. If there are 40 marbles in the bag, how many marbles of each color are in the bag?(1 point)
Since there are equal numbers of marbles for each color, the total number of marbles must be divisible by 5 (the number of different colors).
Since there are 40 marbles in the bag, each color must have 40/5 = 8 marbles.
Therefore, there are 8 marbles of each color in the bag.
Mr. Lim has a bag with some marbles colored red, yellow, green, blue, and white. The marbles are identical in number. Mr. Lim will conduct a chance experiment by randomly drawing a marble from the bag and then returning it after noting the color. Based on 50 trials, how many green marbles will Mr. Lim expect to pick?(1 point)
Since the marbles are identical in number and Mr. Lim is drawing them randomly with replacement, the probability of picking a green marble on any given trial is the same, and it is 1/5 because there are 5 different colors in the bag.
In 50 trials, Mr. Lim can expect to pick a green marble 1/5 of the time.
Therefore, the expected number of green marbles Mr. Lim will expect to pick in 50 trials is:
50 * (1/5) = 10
Mr. Lim can expect to pick 10 green marbles in 50 trials.
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)
In the sample space S={a, b, c, d, e, f} , the consonants are b, c, d, and f.
Therefore, the probability of picking a consonant is the number of consonants divided by the total number of elements in the sample space:
Number of consonants = 4 (b, c, d, f)
Total number of elements = 6
Probability of picking a consonant = Number of consonants / Total number of elements = 4 / 6 = 2 / 3
Therefore, the probability of picking a consonant is 2/3.
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 .
To find the probability of selecting a vowel letter from the word MODELS, we need to identify the vowel letters in the word and determine their probabilities individually.
In the word MODELS, the vowels are the letters O, E. We need to find the probabilities for selecting O and E:
- Probability of selecting O = 1/6
- Probability of selecting E = 1/6
Now, we need to add the probabilities of selecting O and E:
P(O) + P(E) = 1/6 + 1/6 = 2/6 = 1/3
Therefore, the probability of selecting a vowel letter from the word MODELS is 1/3.