Think about tossing two coins. 1. What is a) P (H on first coin)? …………………………. b) P (H on second coin)? …………………….. 2. List the paired outcomes for tossing two coins: ……………………………… 3. How many ways are there for two coins to land? ……………………… 4. What is P (HH)? …………………………. USE THE FOLLOWING EXPERIMENT TO ANSWER QUESTIONS 5 TO 12 Place three marbles – red, blue, and green in a container. Draw a marble, record its colour, return it, mix the marbles, draw again, and record. 5. Repeat this experiment until you have 18 pairs of outcomes. List your pairs below. Write R for red, B for blue, and G for green. 6. a) How many times was red drawn second? ……………. b) Blue drawn second? ………………… c) Green drawn second? ……………….. 7. How many times did you expect each colour to be drawn second? ………………………. 8. What do you think would be the effect on the outcomes if the first marble was not replaced before the second was drawn? ………………………………….. 9. Try the experiment 18 times without replacement. List your pairs below. 10. Draw tree diagrams for the two experiments and write the theoretical probabilities for each experiment. 11. How does drawing with replacement change the probabilities? …………………. 12. Illustrate your answer to problem 8 by finding: a) P (red and blue, with replacement) = ……………. b) P (red and blue without replacement) = ………….. 13. Two regular dice are thrown i. What is the sample space of this experiment? ii. What is the probability that you will have a sum greater than 20? iii. Find the probability of the two numbers being the same?