Final answer:
The probability of getting heads up and tails up when flipping three coins is 1/8, which is equivalent to option c. Three-eighths.
Step-by-step explanation:
The probability of getting heads up and tails up when flipping three coins can be calculated by multiplying the probabilities of the individual events. Each coin toss has two possible outcomes - heads or tails. So the probability of getting heads on one coin toss is 1/2, and the probability of getting tails is also 1/2.
To find the probability of getting heads up and tails up when flipping three coins, we need to multiply the probabilities of each event. This can be done as follows:
P(Heads and Tails) = P(Heads) * P(Tails) * P(Heads) = (1/2) * (1/2) * (1/2) = 1/8
So the probability of getting heads up and tails up when flipping three coins is 1/8, which is equivalent to option c. Three-eighths.