Each letter of the English alphabet is written on a scrap of paper and put n a hate. P(J)= 1/26. What type of probability is illustrated and why?
The given probability is an example of theoretical probability. This is because it is based on the principles of probability theory and assumes that each letter has an equal chance of being selected from the hat. It is also referred to as classical probability because it is based on the assumption that all outcomes in the sample space are equally likely to occur.
Each letter of the English alphabet is written on a scrap of paper and put n a hate. P(J)= 1/26. What type of probability is illustrated and why?
theoretical; the result is based on the number of possible outcomes
theoretical; the result is found by repeating and experiment
experimental; the result is based on the number of possible outcomes
experimental; the result is found by repeating and experiment
The given probability, P(J) = 1/26, is an example of theoretical probability because it is based on the principles of probability theory and assumes that each letter has an equal chance of being selected from the hat. It does not involve any actual experiment or observation, but is derived from the known properties of the system under consideration. Therefore, the correct answer is "theoretical; the result is based on the number of possible outcomes".
You toss a coin 15 times. P(heads) 2/5 =
theoretical; the result is based on the number of possible outcomes
theoretical; the result is found by repeating and experiment
experimental; the result is based on the number of possible outcomes
experimental; the result is found by repeating and experiment
The given probability, P(heads) = 2/5, is not a result of any actual experiment or observation, but is an assumption about the chances of getting a head when tossing a coin. Therefore, it is an example of theoretical probability. This probability is based on the assumption that the coin is unbiased and has an equal chance of landing on either side, and does not involve any actual experimentation. Hence, the correct answer is "theoretical; the result is based on the number of possible outcomes".
A number cube is rolled 150 times. The number 3 comes up 43 times. What is the experimental probability of rolling a 3? What is the theoretical probability of rolling a 3?
Experimental probability of rolling a 3 = Number of times 3 comes up / Total number of rolls = 43/150
Theoretical probability of rolling a 3 = Number of favorable outcomes / Total number of possible outcomes
A number cube has 6 faces, and each has an equal chance of showing up. Therefore, the number of favorable outcomes is 1 (getting a 3) and the total number of possible outcomes is 6. Hence, the theoretical probability of rolling a 3 is 1/6.
A spinner is divided into 10 equal sections numbered from 1 to 10. You spin the spinner once. What is P(not even)?
The total number of possible outcomes when spinning the spinner once is 10, because there are 10 equal sections on the spinner.
Out of these, the even numbers are 2, 4, 6, 8 and 10. Therefore, the not-even numbers are 1, 3, 5, 7, and 9.
Thus, the probability of getting a not-even number is P(not even) = Number of not-even outcomes / Total number of possible outcomes = 5/10 = 1/2.
Therefore, the probability of getting a not-even number is 1/2.
A bag contains 7 green marbles and 4 white marbles. You select a marble at random. What are the odds in favor of picking a green marble?
The odds in favor of picking a green marble are defined as the ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the number of favorable outcomes is the number of green marbles, which is 7. The number of unfavorable outcomes is the number of white marbles, which is 4.
So, the odds in favor of picking a green marble are :
Odds in favor of picking a green marble = number of favorable outcomes / number of unfavorable outcomes = 7/4
This means that for every 7 green marbles, there are 4 white marbles. Therefore, the odds in favor of picking a green marble are 7 to 4.
Food Express is running a special promotion in which customers can win a free gallon of milk (1 point) with their food purchase if there is a star on their receipt. So far, 129 of the first 138 customers have not received a star on their receipts. What is the experimental probability of winning a free gallon of milk?
The experimental probability of winning a free gallon of milk can be calculated by dividing the number of customers who received a star by the total number of customers.
Since 129 of the first 138 customers did not receive a star on their receipt, it means that only 9 of them received a star and will win a free gallon of milk.
Therefore, the experimental probability of winning a free gallon of milk is:
Experimental probability = Number of customers who won a free gallon of milk / Total number of customers
Experimental probability = 9 / 138
Experimental probability = 0.065
So the experimental probability of winning a free gallon of milk is approximately 0.065 or 6.5%.
Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 129 of the first 138 customers have not received a star on their receipts. What is the experimental probability of winning a free gallon of milk?
The experimental probability of winning a free gallon of milk can be calculated by dividing the number of customers who received a star by the total number of customers.
Since it is not mentioned how many customers received a star on their receipt, we cannot calculate the experimental probability using the given information.
Therefore, we need additional data about how many customers received a star in order to calculate the experimental probability.
Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 129 of the first 138 customers have not received a star on their receipts. What is the experimental probability of winning a free gallon of milk? (1 point)
3/46
43/46
11/138
43/138
Since it is not mentioned how many customers received a star on their receipt, we cannot calculate the experimental probability using the given information alone. Therefore, none of the options provided is the correct answer.
We would need additional data about how many customers received a star in order to calculate the experimental probability.
A bag contains 4 green marbles, 6 red marbles, 14 orange marbles, 5
brown marbles, and 8 blue marbles. You choose a marble, replace it,
and choose again. What is P(red, then blue)?
(1 point)
The probability of choosing a red marble on the first draw is 6/37.
After replacing the red marble, the probability of then choosing a blue marble on the second draw is 8/37.
Since the two events are independent (the marble is replaced after the first draw), we can find the probability of both events occurring by multiplying their individual probabilities:
P(red, then blue) = P(red) x P(blue after red)
= (6/37) x (8/37)
P(red, then blue) is approximately equal to 0.022 or 2.2% when rounded to one decimal place.