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?

1 answer

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.