The spinner had an equal chance of landing on 4 colors , yellow red blue and green . If the student were to flip the coin and spin the spinner 130 times , how many will the result be tails and red
Since the spinner has 4 equal colors, each color has a probability of 1/4 of being landed on. Similarly, the coin has a probability of 1/2 of landing on tails.
To find the probability of the spinner landing on red and the coin landing on tails in a single spin, we multiply the probabilities together:
P(red and tails) = P(red) * P(tails) = 1/4 * 1/2 = 1/8
Given that the student spins the spinner 130 times, the expected number of times he will get red and tails is:
130 * 1/8 = 16.25
Since we cannot have a fractional number of spins, we round down to the nearest whole number, meaning the student will get red and tails 16 times out of 130 spins.