A student had a spinner and a coin. The student was running an experiment. 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 were heads and yellow 9 times; heads and red 3 times; heads and blue 4 times; heads and green 1 time; tails and yellow 6 times; tails and red 7 times; tails and blue 2 times; and tails and green 3 times.
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 expected number of times the result would be tails and red, we can use the given probabilities:
Probability of getting tails = 1/2
Probability of landing on red = 1/4
Therefore, the probability of getting tails and red = (1/2) * (1/4) = 1/8
The expected number of times the result would be tails and red in 130 trials would be:
Expected value = 130 * (1/8) = 16.25
Since we cannot have a fraction of a trial, we can say that the expected number of times the result would be tails and red in 130 trials would be 16 times.