Probability Unit Test14 of 15 14 of 15 ItemsQuestionUse the table to answer the question. Compound Event Total Number of OccurrencesHeads and Yellow 9Heads and Red 3Heads and Blue 4Heads and Green 1Tails and Yellow 6Tails and Red 7Tails and Blue 2Tails and Green 3A student had a spinner and a coin. The student was running an experiment for math class. The spinner had an equal chance of landing on 4 colors: yellow, red, blue, and green. The student flipped the coin and spun the spinner, and the results are recorded in the table.If the student were to flip the coin and spin the spinner 130 times, how many times would the result be tails and red? (1 point)Responses
35 times
22 times
11 times
26 times
To find the probability of getting tails and red, we look at the table and see that there were 7 occurrences of tails and red.
Since the student is going to flip the coin and spin the spinner 130 times, we can find the probability of getting tails and red by setting up a proportion:
7 occurrences / Total number of occurrences = x / 130
Solving for x, we get:
7 / Total number of occurrences = x / 130
x = 7 / Total number of occurrences * 130
Plugging in the value of 7 for the number of occurrences of tails and red, we get:
x = 7 / (7 + 3 + 4 + 1 + 6 + 7 + 2 + 3) * 130
x = 7 / 33 * 130
x = 7 / 33 * 130
x ≈ 27.88
So, the result would be tails and red approximately 28 times out of 130.
wrong
I apologize for the mistake. Let's try to find the correct answer:
The total number of occurrences for tails and red is 7.
The probability of getting tails and red in one trial can be calculated as:
Probability of tails and red = (Number of occurrences of tails and red) / (Total number of occurrences)
Therefore, the probability of getting tails and red is:
7 / (9 + 3 + 4 + 1 + 6 + 7 + 2 + 3) = 7 / 35 = 1/5
To find out how many times tails and red would occur out of 130 trials, we multiply the probability by 130:
1/5 * 130 = 26
Therefore, the result would be tails and red 26 times out of 130 trials.