The letter tiles C, A, R, E, S are placed in a box. Without looking, Jorelle picks a letter tile from the box and records the result before placing it back. If he repeats the procedure 100 times, how many times will the letter A tile be picked?
(1 point)
Since there are 5 letter tiles in the box and they are being picked with replacement, each tile has an equal probability of being picked each time. Therefore, the probability of picking the letter A tile in each trial is 1/5.
If Jorelle repeats the procedure 100 times, the expected number of times he will pick the letter A tile is:
100 * (1/5) = 20
Therefore, the letter A tile is expected to be picked 20 times out of the 100 trials.
There are 6 letter tiles in the box: W, I, S, D, O, and M.
Out of these 6 letters, the vowels are I and O (2 vowels).
Therefore, the probability of Abby picking a vowel is:
Number of vowels / Total number of letters = 2/6 = 1/3
So, the probability that the letter Abby picks is a vowel is 1/3.
There are 3 equally likely outcomes in the sample space S = {1, 2, 3}. The probability of each outcome is 1/3.
To find the probability of picking number 2 or 3, we need to add the probabilities of these individual outcomes:
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.
If there are 5 colors of marbles (red, yellow, green, blue, and white) and they are all identical in number, then the number of marbles of each color will be the same.
Let x be the number of marbles for each color. Since there are 5 colors, the total number of marbles can be expressed as:
5x = 40
Solving for x:
5x = 40
x = 40 / 5
x = 8
Therefore, there are 8 marbles of each color in the bag.
Since the marbles are identical in number and there are 5 colors, we know that the probability of picking a green marble is 1/5 for each trial.
To find the expected number of green marbles Mr. Lim will pick in 50 trials, we multiply the probability of picking a green marble by the total number of trials:
Expected number of green marbles = Probability of picking green marble * Total number of trials
Expected number of green marbles = (1/5) * 50
Expected number of green marbles = 10
Therefore, Mr. Lim can expect to pick 10 green marbles in 50 trials.
The letter tiles W, I, S, D, O, M are placed on a box. Without looking, Abby picks a letter tile from the box. What is the probability that the letter she picks is a vowel? Write your answer in the simplest form of a fraction.
(1 point)
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)
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)
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)