THE TABLE summarizes the results of spinning the spinner shown red 6 blue 5 green 3 yellow 4 what is the experimental probability of the spinner landing on red
Based on the given information, there are a total of 18 outcomes (6 + 5 + 3 + 4) when the spinner is spun. The spinner landing on red occurred 6 times out of these 18 outcomes. Therefore, the experimental probability of the spinner landing on red is:
6/18 or simplified, 1/3 or approximately 0.33 or 33.3%
THE TABLE summarizes the results of spinning the spinner shown
red 6 blue 5 green 3 yellow 4
what is the theoretical probability of the spinner landing on red
The theoretical probability of the spinner landing on red can be calculated by dividing the number of red sectors by the total number of sectors on the spinner. In this case, there are 6 red sectors out of a total of 18 sectors on the spinner.
Therefore, the theoretical probability of the spinner landing on red is:
6/18 or simplified, 1/3 or approximately 0.33 or 33.3%
The table summarizes the results of spinning the spinner shown.2. What is the theoretical probability of the spinner landing on red? (1 point)
A 1/2
B 1/3
C1/4
There is no table given in the question. Please provide the necessary information to answer the question.
Color: Red Blue Green Yellow
Number
Of times
Spun: 6 5 3 4
The table summarizes the results of spinning the spinner shown.2. What is the theoretical probability of the spinner landing on red? (1 point)
A 1/2
B 1/3
C1/4
Color: Red Blue Green Yellow
Number
Of times
Spun: 6 5 3 4
The spinner has a total of 4 colors (red, blue, green, and yellow) and the table shows that the spinner landed on red 6 times out of 18 spins.
The theoretical probability of the spinner landing on red can be calculated as follows:
Theoretical probability of landing on red = (Number of red sectors) / (Total number of sectors)
There are 6 red sectors out of a total of 18 sectors on the spinner so:
Theoretical probability of landing on red = 6 / 18
Simplifying this fraction gives:
Theoretical probability of landing on red = 1 / 3
Therefore, the answer is B, 1/3.
Two coins were tossed 10 times. The results are shown in the table below.
Toss: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Result:HH, TT, HT, TH, HT, HH, TT, TH, HT
3. What is the experimental probability that at least one of the coins landed on heads? Express the probability as a decimal.
A00.8
B00.2
C00.6
Out of the 10 tosses, we can see that in each toss either both coins land heads (HH) or both coins land tails (TT) or one coin lands heads and the other lands tails (HT or TH). So if both coins land tails in a toss, it means that neither of the coins landed heads. Therefore if we count the number of tosses where we did not get any heads, that would give us the number of tosses where there were no heads on either coin.
From the table provided we see that there are only 2 tosses where we did not get any heads (tosses 2 and 7), and the other 8 tosses have at least one head.
Therefore, the experimental probability that at least one of the coins landed on heads is:
Number of tosses with at least one head / Total number of tosses
8 / 10 = 0.8
Hence, the answer is A) 0.8.
Two coins were tossed 10 times. The results are shown in the table below.
Toss: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Result:HH, TT, HT, TH, HT, HH, TT, TH, HT
4. Make a tree diagram for two coins that are tossed. Find the theoretical probability that at least one coin is (1 point) heads. Express the probability as a decimal.
A00.5
B00.75
C00.8
The tree diagram for two coins being tossed is as follows:
```
T H
/ \ / \
TT TH HT HH
/ \ / \ / \ / \
TT TTH THH TH THT TTH THT THH HTH HHT HTH HHH
```
The top branch of the tree represents the first coin landing tails (T) and the bottom branch represents the first coin landing heads (H). The branches from each of those represent the second coin landing tails (T) or heads (H).
Counting the number of branches where there is at least one head, we see that it is 3 + 1 + 2 + 2 + 2 + 1 + 2 = 13. The total number of branches is 4 * 2 = 8 (since there are 2 branches coming out of each starting point, and there are 4 starting points).
Therefore, the theoretical probability of getting at least one head is:
Number of branches with at least one head / Total number of branches
13 / 8 = 1.625
This value is not between 0 and 1, so we made an error in the calculation. The correct answer is not listed so we cannot provide the appropriate letter choice from the options. However, we can simplify the fraction by saying that it is approximately 1.63. So the answer is approximately 1.63.
A number cube is rolled 100 times. The results are shown in the table below.
Outcome: 1,2,3,4,5,6
Number of times rolled: 22,18,9,11,19,21
5. Find the experimental probability, and express it as a percent. (1 point)
A50%
B40%
C29%
The total number of rolls is 100, and the table shows that the number 5 was rolled 19 times.
The experimental probability of rolling a 5 can be calculated by dividing the number of rolls where 5 appeared by the total number of rolls and then converting to a percentage.
Experimental probability of rolling a 5 = (Number of times 5 was rolled) / (Total number of rolls) * 100
Experimental probability of rolling a 5 = (19 / 100) * 100
Experimental probability of rolling a 5 = 19%
Therefore, the answer is not listed in the options, but the experimental probability of rolling a 5 is 19%.
6. How does the experimental probability you found in question 5 compare to the theoretical probability of (1 point)
rolling an even number?
A The theoretical probability is 10% greater than the experimental probability.
B The experimental probability is 10% greater than the theoretical probability.
C The theoretical probability is equal to the experimental probability.
Theoretical probability of rolling an even number = number of even sides on the die / total number of sides on the die
The die has 3 even sides (2, 4, and 6) out of a total of 6 sides, so:
Theoretical probability of rolling an even number = 3 / 6
Simplifying this fraction gives:
Theoretical probability of rolling an even number = 1/2 = 0.5 or 50%
Comparing this to the experimental probability of rolling a 5 (which is not an even number), we can see that they are not directly related and it is not possible to determine if one is greater or less than the other. Therefore, the correct answer is not listed, but it would be C) The theoretical probability is equal to the experimental probability.