Theoretical and Experimental Probability
Theoretical and experimental probability are fundamental concepts in the field of probability theory, offering insights into the likelihood of various outcomes in a given scenario. While theoretical probability relies on mathematical principles to predict outcomes based on assumptions and calculations, experimental probability is derived from empirical observations and data gathered through experimentation or real-world events. Understanding the distinction between these two approaches is crucial for making informed decisions in areas such as statistics, gambling, risk assessment, and decision-making under uncertainty.
Questions
- There are 24 jellybeans, 10 red, 6 black and 8 yellow. what is the probability that if 2 jelly beans are taken out without replacement one is red and one is yellow?
- If you are rolling 3 dice, what is the probability of rolling 2 sixes?
- If a bowl contains ten hazelnuts and eight almonds, what is the probability that four nut randomly selected from the bowl will all be hazelnuts?
- A student makes random guesses for 10 true/false questions. What is the probability of getting one correct answer?
- The two dice are tossed. What is the probability of the event that the sum of two numbers on the both dice at least equal 8?
- The probability of an event is 3/5, what are the odds that the event will occur?
- Three cards are selected at random from a group of 7. Two of the cards have been marked with winning numbers. What is the probability that none of the 3 cards will have a winning number?
- Two number cubes are rolled --one white and one yellow. How do you find the probability that the white cube shows a 6 and the sum is greater than 9?
- A box contains six yellow, two red and two blue cubes. What is the probability of picking a yellow cube out of the box?
- A box holds 240 eggs. The probability that an egg is brown is 0.05. How do you find the expected number of brown eggs in the box?
- Out of 7 lottery tickets 3 are prize-winning tickets. If someone buys 4 tickets what is the probability of not winning any prize at all?
- How do you determine the theoretical probability of rolling a five on a die?
- A committee of three is to be selected at random from five married couples. What is the probability that the committee contains an odd number of women or an odd number of men?
- When two dice are rolled, how do you find the probability of getting a sum of 6 or 7?
- What are the odds against drawing a face card?
- Sue goes through 4 sets of traffic lights each morning to work. there is a 5/8 chance that she will be caught by each of the lights. if she is stopped by 3 or more of the lighs then she is late for work. what is the probability that she will be late?
- A museum worker randomly displays 6 historical writings in a row. What is the probability that she lines them up from the oldest to the most recent from left to right?
- Three cards are chosen at random from a deck without replacement. What is the probability of getting a jack, a ten and a nine in order?
- There are 15 students. 5 of them are boys and 10 of them are girls. If 5 students are chosen, what is the probability that 2 or them are boys?
- Without looking Jenny randomly selects two socks from a drawer containing four blue, three white, and five black socks, none of which are paired up. what is the probability that she chooses two socks of the same color?