Question 10 Steven conducted an experiment of selecting two marbles from a bag with 5 red marbles and 2 yellow marbles. a) Draw a tree diagram representing WITH REPLACEMENT " of marbles and calculate the probabilities of each outcome. bj Draw a tree diagram representing WITHOUT REPLACEMENT * of marbles and calculate the probabilities of each outcome N.B. * the first marble is replaced before the second marble is chosen " the first marble is NOT replaced before the second marble is chosen Steven performed 500 trials of selecting the two marbles and recording their colour in order, The results are shown below. c) Complete the table by calculating the relative frequencies. Outcome Frequency Relative frequency Red Red 255 Red Yellow 106 Yellow Red 104 Yellow Yellow 35 Total 500 Based on the evidence you have gathered and calculations you have performed above, how do you think Steven performed his experiment? I.e. Did he replace the first marble or not, before drawing the second marble? Ensure you justify (support) your response by referring to diagrams and calculations