Consider a fair coin, such that the probability of observing a head or a tail in a random toss is 0.5. Consider an experiment in which the coin is tossed twice and the two outcomes (O1 and O2) are recorded. Obviously, the probability of observing one head and one tails is 0.5 and the probability of observing both heads or both tails is 0.25 each. Consider the following two probabilities: Given the knowledge that there is at least 1 tails, the probability that there is one head observed is pa. If O1 is heads, the probability that O2 is tails is pb Which of the following statements are true: a) pa is 1/2 and pb is 1/2 b) pa is 1/3 and pb is 2/3 c) pa and pb are not equal d) pa is 2/3 and pb is 1/3

Have you ever been in the middle of telling a story and had to use hand gestures or even a drawing to make your point? in algebra, if we want to illustrate or visualize a key feature of a function, sometimes we have to write the function in a different form—such as a table, graph, or equation—to determine the specific key feature we’re looking for. think about interactions with others and situations you’ve come across in your own life. how have you had to adjust or change the way you represented something based on either the concept you were trying to describe or the person you were interacting with? explain how the complexity or layout of the concept required you to change your style or presentation, or how the person’s unique learning style affected the way you presented the information.