Use 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?
To find the percentage of occurrences of tails and red in the table, we need to calculate the total number of occurrences of tails and red first:
Total number of occurrences of tails and red = 7
Now, to find the probability of getting tails and red in one trial, we divide the total number of occurrences of tails and red by the total number of possible outcomes:
Probability of getting tails and red in one trial = 7 / 130 = 0.0538
To find how many times the result would be tails and red in 130 trials, we multiply the probability by the total number of trials:
Number of times tails and red in 130 trials = 0.0538 * 130 ≈ 7
Therefore, in 130 trials, the result would be tails and red approximately 7 times.
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From the table, we see that the total number of occurrences for tails and red is 7.
If the student were to flip the coin and spin the spinner 130 times, we can calculate the probability of getting tails and red in one trial by dividing the total number of occurrences of tails and red by the total number of possible outcomes:
Probability of getting tails and red in one trial = 7 occurrences / (130 trials) ≈ 0.0538
To find the expected number of occurrences of tails and red in 130 trials, we multiply the probability by the total number of trials:
Expected number of tails and red in 130 trials = 0.0538 * 130 ≈ 7
Therefore, in 130 trials, the expected number of occurrences of tails and red is approximately 7 times.