1. A bag contains 9 tiles numbered 1 to 9. P(4) = (1 point)
experimental; the result is found by repeating an experiment.
experimental; the result is based on the number of possible outcomes.
theoretical; the result is found by repeating an experiment.
theoretical; the result is based on the number of possible outcomes.
2. You toss a coin 15 times. P(heads) = (1 point)
experimental; the result is found by repeating an experiment.
experimental; the result is based on the number of possible outcomes.
theoretical; the result is found by repeating an experiment.
theoretical; the result is based on the number of possible outcomes.
3. A number cube is rolled 160 times. The number 2 comes up 39 times. What is the experimental probability of rolling a 2? What is the theoretical probability of rolling a 2? (1 point)
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;
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4. A spinner is divided into 10 equal sections numbered from 1 to 10. You spin the spinner once. Find P(not even). (1 point)
5. 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? (1 point)
7:11
7:4
4:7
3:7
6. 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, 147 of the first 156 customers have not received a star on their receipts. What is the experimental probability of winning a free gallon of milk? (1 point)
7. A bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. You choose a marble, replace it, and choose again. Find P(red, then blue). (1 point)
8. Two urns each contain green balls and red balls. Urn I contains 10 green balls and 8 red balls, and Urn II contains 3 green balls and 10 red balls. A ball is drawn from each urn. Find P(red and red). (1 point)
9. Suppose you spin the spinner below twice. Find P(vowel, then Q).
(1 point)
10. You have four $1 bills, two $5 bills, five $10 bills, and five $20 bills in your wallet. You select a bill at random. Without replacing the bill, you choose a second bill. Find P($1, then $10). (1 point)
11. A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jonas picks a fruit at random and does not replace it. Then Beth picks a fruit at random. What is the probability that Jonas gets a peach and Beth gets an apple? (1 point)
12. The probability of a basketball player hitting a foul shot is . How many shots would you expect her to make in 90 attempts? (1 point)
30
60
3
45
13. A true-false test has 5 questions. What is the probability of guessing the correct answers to all of the questions? (1 point)
Can someone help me?????
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I'd be happy to help you with these probability questions! Let's go through each question and break down how to find the probability in each case.
1. A bag contains 9 tiles numbered 1 to 9. P(4) = ?
To find the probability of drawing a specific tile, such as number 4, from the bag, we need to know the total number of possible outcomes and the number of favorable outcomes. In this case, there are 9 total tiles in the bag. Since there is only 1 tile with the number 4, the number of favorable outcomes is 1. Therefore, P(4) = 1/9. The correct answer choice is "theoretical; the result is based on the number of possible outcomes."
2. You toss a coin 15 times. P(heads) = ?
In this case, we need to determine the probability of getting heads when tossing a coin. Since there are two equally likely outcomes (heads or tails) when tossing a fair coin, the number of possible outcomes is 2. To find the number of favorable outcomes (getting heads), we need further information, such as the number of times heads appears in the 15 tosses. Without that information, we cannot determine the probability. The correct answer choice is "unknown."
3. A number cube is rolled 160 times. The number 2 comes up 39 times. What is the experimental probability of rolling a 2? What is the theoretical probability of rolling a 2?
Experimental probability is based on the result of actually performing the experiment, in this case, rolling the number cube. The experimental probability of rolling a 2 is found by dividing the number of times 2 appeared (39) by the total number of rolls (160), resulting in 39/160.
Theoretical probability, on the other hand, is based on the number of possible outcomes. Since a number cube has 6 sides, each numbered from 1 to 6, the theoretical probability of rolling a 2 is 1/6.
Therefore, the experimental probability of rolling a 2 is 39/160, and the theoretical probability is 1/6.
4. A spinner is divided into 10 equal sections numbered from 1 to 10. You spin the spinner once. Find P(not even).
To find the probability of an event occurring, we need to know the number of favorable outcomes and the total number of possible outcomes. In this case, to find P(not even), we need to determine how many numbers on the spinner are not even. Since half of the numbers on the spinner are even (1, 3, 5, 7, 9), the remaining half of the numbers (2, 4, 6, 8, 10) are not even. Therefore, there are 5 favorable outcomes (not even) out of 10 possible outcomes (total numbers on the spinner). Thus, P(not even) = 5/10 = 1/2.
5. 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 an event are determined by the ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the number of favorable outcomes (picking a green marble) is 7, and the number of unfavorable outcomes (picking a white marble) is 4. Therefore, the odds in favor of picking a green marble are 7:4.
I'll provide the solutions to the remaining questions in a separate response to avoid exceeding the character limit.
Sure, I can help you. Let's go through each question step by step.
1. The probability of getting a 4 from a bag containing 9 tiles numbered 1 to 9 is a theoretical probability. The result is based on the number of possible outcomes. Therefore, the answer is "theoretical; the result is based on the number of possible outcomes."
2. Tossing a coin 15 times and finding the probability of getting heads is an experimental probability. The result is based on repeating the experiment. Therefore, the answer is "experimental; the result is found by repeating an experiment."
3. The experimental probability of rolling a 2 from a number cube rolled 160 times is found by dividing the number of times the event occurred (39 times) by the number of trials (160 times). The theoretical probability of rolling a 2 is based on the number of possible outcomes of rolling a number cube (6 sides). So, we have:
Experimental probability of rolling a 2: 39/160
Theoretical probability of rolling a 2: 1/6
4. The spinner is divided into 10 sections, so the probability of spinning a not even number is the probability of spinning an odd number. Since there are 5 odd numbers (1, 3, 5, 7, 9) out of 10 total numbers, the probability of spinning a not even number is 5/10 or 1/2.
5. The odds in favor of picking a green marble can be calculated by dividing the number of green marbles (7) by the number of non-green marbles (4) in the bag. So, the odds in favor of picking a green marble are 7:4.
6. To find the experimental probability of winning a free gallon of milk, divide the number of customers who received a star on their receipts (156 - 147 = 9) by the total number of customers (156). So, the experimental probability of winning a free gallon of milk is 9/156.
7. Since the marble is replaced after each selection, the probability of choosing a red marble and then choosing a blue marble is the product of the probabilities of each event. The probability of choosing a red marble is 9/41 and the probability of choosing a blue marble is 10/41. So, the probability of choosing red, then blue is (9/41) * (10/41) = 90/1681.
8. The probability of drawing a red ball from Urn I is 8/18, and the probability of drawing a red ball from Urn II is 10/13. Since the balls are drawn from different urns, the probability of drawing a red ball from both urns is (8/18) * (10/13) = 40/234.
9. Without information about the spinner, it is not possible to determine the probability of spinning a vowel and then a Q.
10. The probability of selecting a $1 bill from your wallet is 4/16, and the probability of selecting a $10 bill without replacing the first bill is 5/15. So, the probability of selecting a $1 bill, then a $10 bill is (4/16) * (5/15) = 1/12.
11. The probability of Jonas picking a peach is 5/14, and the probability of Beth picking an apple without replacement is 3/13. So, the probability of Jonas getting a peach and Beth getting an apple is (5/14) * (3/13) = 15/182.
12. The probability of hitting a foul shot is given as . To find the number of shots that would be expected to be made in 90 attempts, multiply the probability by the number of attempts: * 90 = 30.
13. The probability of guessing the correct answer to each question is 1/2. Since there are 5 questions, the probability of guessing all 5 correctly is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32.
I hope this helps! Let me know if you have any further questions.