1. The table shows the results of spinning a four-colored spinner 50 times. Find the experimental probability and express it as a decimal.
P(not red) = ?
red | blue | green | yellow
----------------------------------------
20 | 10 | 9 | 11
(1 point)
a 0.6
b 0.4
c 0.2 <--------------
d 0.3
2. You roll a number cube 20 times. The number 4 is rolled 8 times. What is the experimental probability of rolling a 4? (1 point)
a 40% <--------------
b 25%
c 20%
d 17%
3. The table below shows the results of flipping two coins. How does the experimental probability of getting at least one tails compare to the
theoretical probability of getting at least one?
outcome|HH | TH | HT | TT
--------------------------
landed |28 |22 |34 | 16
A The experimental probability is 3% greater than the theoretical probability.
B The theoretical probability is 3% greater than the experimental probability.
C The experimental probability is equal to the theoretical probability. <-------
D The experimental probability is about 1% less than the theoretical probability.
4. The probability of winning a game is 15%. If you play 20 times, how many times should you expect to win? (1 point)
a 5 times
b 3 times<--------------
c 6 times
d 15 times
5. The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect to have?
a 5 tickets <----------
b 3 tickets
c 8 tickets
d 10 tickets
6. A company finds 5 defective toys in a sample of 600. Predict how many defective toys are in a shipment of 24,000.
a 40 toys <-----------
b 166 toys
c 200 toys
d 20 toys
7. Which of the following is an example of independent events?
A rolling two number cubes <-------
B selecting marbles from a bag without
replacement after each draw
C choosing and eating a piece of candy from a dish and then choosing another piece of candy
D Pulling a card from a deck when other players have already pulled several cards from that deck
8. A bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. Pieces of fruit are drawn twice with replacement. What is P(apple, then
apricot)? (1 point)
a 4/5
b 2/25
c 3/25
d 3/5 <---------------------
9. A coin is flipped three times. How the does P(H, H, H) compare to P(H, T, H)? (1 point)
A. P(H, H, H) is greater than P(H, T, H)
B. P(H, T, H) is greater than P(H, H, H). <-----------
c.The probabilities are the same.
d.There is no way to tell with the information given.
10. A coin is tossed and a number cube is rolled. What is P(heads, a number less than 5)? (1 point)
A 1/3
B 5/12
C 2/3
D 5/6 <----------------------
am i correct.
Just to let you know, i am really bad at math:(
1)20% chance of spinning each one
2)= 40 40% *20=8
3)since there are 4 outcomes, theoretical = 25% my changed answer is 25%.28+22+34+16= 100 100 / 4 = 25%
4)my changed answer 3 15% of 20=3
5)20=2 50=5 2*5=10 A
6)24000 / 600 = 40
7)self explanatory
8)apple+apricot =6 10 all together 6/10=3/5
9)since a coin flip is random,it is a higher probability of the outcome to be H T H or B
10)since it says less than 5 and there is 6 sides on a dice all together, it is 5/6.
PLEASE CHECK
I think you should spend more efforts in understanding how to solve the problems, in explaining how you solved the problems (whether correctly or not) in order to help yourself.
Trying to post under a different name and posting the same question multiple times, without showing any effort, is going to be a waste of effort on your part, and on the part of tutors who could better spend time in helping others.
A secret recipe to posting here is:
1. use the same name at all times. Tutors who don't necessarily answer your question will still check your progress and your efforts.
2. Ask one question at a time, and understand how to solve it, not just to get answers. Knowing the answer to one question does not help you get the next. Knowing how to solve one problem helps you when the next one comes along. You are working on a study guide, which is a check list of what you should know, and if not, should learn how to solve those problems, so that in the exam you will be capable of doing well.
Good luck, and hope you understand why you're working on these problems.
WTF?!😡 HALF OF THERE ARE WRONG!!! For anyone that's looking at this, don't trust "DragonBornFU5R0D48"! I will give you the right answers...
1) A
2) A
3) B
4) B
5) C
6) B
7) A
8) B
9) C
10) D
These are 100% I promise that these will be a'ok👌🏽 👍🏽 Hope this helps😄
Please be right Z_Dancing_Donut. I can't fail this
You were wrong 6 was C and 10 was A but everything else was correct.
Thnx both anonymous and Z dancing are correct!
Let's go through each question and check your answers:
1. The table shows the results of spinning a four-colored spinner 50 times. Find the experimental probability and express it as a decimal. P(not red) = ?
To find the experimental probability of not landing on red, we need to add up the frequencies of all the colors other than red and divide it by the total number of spins.
20 (blue) + 9 (green) + 11 (yellow) = 40
So, P(not red) = 40/50 = 0.8
Your answer: None of the options provided.
Correct answer: None of the options provided.
2. You roll a number cube 20 times. The number 4 is rolled 8 times. What is the experimental probability of rolling a 4?
To find the experimental probability of rolling a 4, we need to divide the number of times a 4 was rolled by the total number of rolls.
Experimental probability of rolling a 4 = 8/20 = 0.4
Your answer: 40%
Correct answer: 40%
3. The table below shows the results of flipping two coins. How does the experimental probability of getting at least one tails compare to the theoretical probability of getting at least one?
To find the experimental probability of getting at least one tails, we need to count the number of times the outcome landed on HT, TH, or TT and divide it by the total number of trials.
28 (HT) + 22 (TH) + 34 (TT) = 84
Experimental probability of getting at least one tails = 84/100 = 0.84
The theoretical probability of getting at least one tails can be found by subtracting the probability of getting all heads from 1.
The probability of getting all heads is 28/100 = 0.28.
The theoretical probability of getting at least one tails = 1 - 0.28 = 0.72
Your answer: The experimental probability is equal to the theoretical probability.
Correct answer: The experimental probability is equal to the theoretical probability.
4. The probability of winning a game is 15%. If you play 20 times, how many times should you expect to win?
To find the expected number of wins, we multiply the probability of winning by the number of times you play.
Expected number of wins = 0.15 x 20 = 3
Your answer: 3 times
Correct answer: 3 times
5. The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect to have?
To find the expected number of winning tickets, we multiply the probability of winning by the number of tickets bought.
Expected number of winning tickets = 0.20 x 50 = 10
Your answer: 5 tickets
Correct answer: 10 tickets
6. A company finds 5 defective toys in a sample of 600. Predict how many defective toys are in a shipment of 24,000.
We can set up a proportion to solve this problem:
5/600 = x/24000
Cross-multiply and solve for x:
5 * 24000 = 600 * x
x = 120
Your answer: 40 toys
Correct answer: 120 toys
7. Which of the following is an example of independent events?
Independent events are events where the outcome of one event does not affect the outcome of the other event.
Your answer: Rolling two number cubes
Correct answer: Rolling two number cubes
8. A bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. Pieces of fruit are drawn twice with replacement. What is P(apple, then apricot)?
The probability of drawing an apple is 4/10, and the probability of drawing an apricot is 2/10. Since the pieces are drawn with replacement, the probabilities are independent, and we can multiply them to find the probability of both events happening.
P(apple, then apricot) = (4/10) * (2/10) = 8/100 = 0.08
Your answer: 3/5
Correct answer: 0.08
9. A coin is flipped three times. How does P(H, H, H) compare to P(H, T, H)?
The probability of getting heads on a fair coin flip is 1/2, and the probability of getting tails is also 1/2. Since the coin flips are independent events, we can multiply the probabilities together to find the probabilities of different outcomes.
P(H, H, H) = (1/2) * (1/2) * (1/2) = 1/8
P(H, T, H) = (1/2) * (1/2) * (1/2) = 1/8
Since P(H, H, H) and P(H, T, H) are equal, the answer is:
Your answer: The probabilities are the same.
Correct answer: The probabilities are the same.
10. A coin is tossed and a number cube is rolled. What is P(heads, a number less than 5)?
The probability of getting heads on a fair coin toss is 1/2. The probability of getting a number less than 5 on a number cube is 4/6 since there are 4 favorable outcomes (1, 2, 3, 4) out of 6 total outcomes.
P(heads, a number less than 5) = (1/2) * (4/6) = 2/6 = 1/3
Your answer: 5/6
Correct answer: 1/3
Overall, most of your answers were incorrect. It seems like you need to review the concepts of probability and how to calculate probabilities in different scenarios. It's okay to struggle with math sometimes, but practicing and seeking help can improve your understanding.