Math 310 prob
A bucket contains a blue square, two blue triangles, and a pink circle. What is P(blue and circle)?
A. 0 B. 1/2 C. 1 D. 1/4
In a refrigerator there are 11 bottles of diet soda, 9 bottles of regular soda, and 4 bottles of water. Find the probabilities for the events consisting of the outcomes listed below. The probability of choosing a bottle of water at random is
A 1/6 B 2/6 C 4/6 D 3/5
A bag of balloons has 5 red balloons, 4 blue balloons, 3 green balloons, and 3 orange balloons. Casey randomly selects a balloon from the bag. She draws a red balloon. Casey then puts the balloon back and randomly draws out another balloon. This time she draws a green balloon. What is the probability Casey drawing red and then green? (Hint: Select the reduced form of your answer.)
A. 1/14 B. 1/15 C. 8/15 D. 11/15
A bag of balloons has 5 red balloons, 4 blue balloons, 3 green balloons, and 3 orange balloons. Casey randomly selects a balloon from the bag. She draws a red balloon. She keeps the balloon and then draws another one. This time she draws a green balloon. What is the probability Casey drawing red and then green? (Hint: Select the reduced form of your answer.)
A. 1/15 B. 8/15 C. 11/15 D. 1/14
A bucket contains a blue square, two blue triangles, and a pink circle. What is P(blue or circle)?
A. 1/4 B. 0 C. 1/2 D. 1
Each individual letter of the word Florida is placed on a piece of paper, and all 7 pieces of paper are placed in a hat. If one letter is selected at random from the hat, find the probability that the letter "i" is selected.
A. 1/6 B.1/7 C. 3/7 D. 1/4
A set of dolls is in a packing crate: 6 with blond hair, 5 with black hair, and 4 with red hair. If one doll is drawn at random from the crate, what is the probability that the doll's hair is not red?
A. 11/15 B.15/15 C. 12/15 D. 6/15
In a refrigerator there are 11 bottles of diet soda, 9 bottles of regular soda, and 4 bottles of water. Find the probabilities for the events consisting of the outcomes listed below. The probability of choosing a bottle of diet soda at random is
A. 11/24 B. 3/8 C. 1/6 D. 9/24
When a particular type of thumbtack is dropped, it will land point up () or point down (). This experiment was repeated 80 times with the following results: point up: 48 times; point down: 32 times. What is the experimental probability that a particular type of thumbtack will land point down?
A. 3/5 B. 2/5 C. 4/5 D. 1/2
When a particular type of thumbtack is dropped, it will land point up () or point down (). This experiment was repeated 80 times with the following results: point up: 48 times; point down: 32 times. a. What is the experimental probability that a particular type of thumbtack will land point up?
A. 3/6 B. 1/4 C. 1/5 D. 2/5
A game consists of drawing two tiles from a jar containing 3 red and 4 green marbles. What is the probability that at least one red marble is drawn? Be sure to draw a tree diagram and consider all outcomes that have at least one red marble.
A. 30/42 B. 24/42 C. 12/42 D. 6/42
In a refrigerator there are 11 bottles of diet soda, 9 bottles of regular soda, and 4 bottles of water. Find the probabilities for the events consisting of the outcomes listed below. The probability of choosing a bottle of regular soda at random is
A. 4/8 B 3/8 C 2/8 D 1/2
There are two bags each containing red balls and yellow balls. Bag A contains 1 red and 4 yellow balls. Bag B contains 3 red and 13 yellow balls. Alva says that you should always choose bag B if you are trying to draw a red ball because it has more red balls than bag A. How do you respond?
A. Alva's reasoning is correct. If she chooses bag B, her chances of getting a red ball are 313, which is greater than her chances of getting a red ball if she chooses bag A, 14. B. Alva's reasoning is not correct. If she chooses bag A, her chances of getting a red ball are 14, which is greater than her chances of getting a red ball if she chooses bag B, 313. C. Alva's reasoning is correct. If she chooses bag B, her chances of getting a red ball are 316, which is greater than her chances of getting a red ball if she chooses bag A, 15. D. Alva's reasoning is not correct. If she chooses bag A, her chances of getting a red ball are 15, which is greater than her chances of getting a red ball if she chooses bag B, 316.
When a particular type of thumbtack is dropped, it will land point up () or point down (). This experiment was repeated 80 times with the following results: point up: 48 times; point down: 32 times. Is it expected that nearly the same results occur on a second trial? Why?
A. No, because if an experiment is repeated many times, the experimental probability of the event occurring should be approximately equal to the theoretical probability of the event occurring. Experimental probability does not guarantee exact results. B. Yes, because if an experiment is repeated many times, the experimental probability of the event occurring should be approximately equal to the theoretical probability of the event occurring. Experimental probability does not guarantee exact results. C. No, because the probability changes during each experiment.
When a particular type of thumbtack is dropped, it will land point up () or point down (). This experiment was repeated 80 times with the following results: point up: 48 times; point down: 32 times. If the experiment was tried another 80 times would the same results occur? Why?
A. No. Because this experiment has chance elements, so there will not always be the exact same results on any given set of trials of the experiment. B. Yes. Because this experiment the probability does not change for experimental probability, so there will always be the same results on any given set of trials of the experiment.
Ian and Sophia flip a fair coin ten times and record their results; they find that the coin landed on heads eight times. Ian says, "This means the coin will land on heads 80% of the time!" Sophia says, "I don't think so; if we flip it many more times, our results should be closer to it landing on heads about 50% of the time." Who is right? How do you know?
A. Sophia is right, because the coin should land on heads exactly 50% of the time. B. Ian is right, because 8 out of 10 is 80%. C. Sophia is right, because of the Law of Large Numbers (Bernoulli's Theorem). D. Ian is right, because a coin isn't neccessarily heads 50% of the time, and the sample probability is usually near the population probability.
You have the choice of flipping a fair coin and winning a game when heads appear, or you can roll a single standard die and you win if an even number appears. Explain why the choice of coin or die does not matter in regard to your winning.
A. The choice does not matter because both winning events have probability 1/2. B. The choice does not matter because both winning events have only one trial. C. The choice does not matter because the probability of getting an even number is equal to the probability of getting an odd number. D. The choice does not matter because the probability of getting a head is equal to the probability of getting a tail.
If you flipped a fair coin 15 times and got 15 heads, what is the probability of the event of getting a head on the 16th toss? Explain your answer.
A. The probability is 12 because 15 heads are obtained in the first 15 tosses. B. The probability is 12 because the fair coin has no memory, the probability of the event of a head on the 16th toss is the same as the probability of the event of a head on any toss. Your answer is correct. C. The probability is 1 because 15 heads are obtained in the first 15 tosses. D. The probability is 1 because the probability of the event of a head on the 16th toss is the same as the probability of the event of a head on the 15th toss.
A game is played by rolling a six sided die and then spinning a spinner that is 1/2 blue, 1/3 red, and 1/6 green. What is the probability of rolling a three and spinning green?
A.1/2 B.1/3 C.1/36 D. 1/6
Susan spins a spinner ten times. It lands on purple 3 times, green 2 times, and orange 5 times. The experimental probability of spinning purple is 3/10.
True Or fasle
If the probability of an event occurring is 2/3, the probability of the event not occurring is 1/3.
True or false
The more times an experiment is conducted, the experimental probability gets closer to the theoretical probability.
True or false
The odds in favor of winning a $10 gift certificate are 10:5000. The odds against winning the gift certificate are 5000:10.
True or false
The theoretical probability of an impossible event is 0.
True or false
Theoretical probability and Experimental probability are always the same value.
True or false
When you roll a twelve sided die the probability of rolling an even number is 6/12.
True or false
When you roll a twelve sided die, the odds of rolling an odd number are 6:6.
True or false
