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.