plase solv these probability qustions

If you want to see what happened, visit priceisrightfom, and go to 'games, let em roll'. II The game show 'The Price is Right' started in the United States in 1956 and has been recreated in over 40 countries around the world. Contestants compete to win cash and prizes by playing a variety of games, often involving guessing the price of a product. During celebrity week (which raises money for many charities} former professional basketball player and sports commentator Charles Barkley played alongside contestants to offer advice during the games. In one game, the contestant rolls ve six-sided dice in attempts to win a car. Each die is labelled with a car on three sides and cash values on the other three sides ($500, $1000 and $1500). In order to win the car, the contestant must get a car picture on each die in a limited number of rolls. The contestant can win up to three rolls to get all ve car pictures, and until the nal roll can choose to take the cash values he/she rolls instead of trying to roll again for the car. In a particular game, the contestant won the right to roll the dice twice. I 1 Represent the sample space for the rst roll of ve dice using a list, tree diagram and a table. 2 On any one die, determine these probabilities: a) P(car)= I b) P($1000)= c) P(> $500): 3 Explain whether your results in step 2 make sense. 4 What is the likelihood of walking away with nothing (no car, no money)? Explain. II If you want to see what happened, visit priceisright.com, and go to 'games, let em roll'. On the rst roll, the contestant rolled two car pictures and the other three dice totalled $4000. The two car picture dice were removed and the contestant could choose to either take the $4000 cash or roll the three remaining dice one last time to try to win the car. If he rolled all three car pictures, he would win the car. However, if he rolled fewer than three cars, he would win whatever money was showing on the three remaining dice. 5 Represent the sample space for possible outcomes of rolling the three dice using a list and a tree diagram. 6 Charles Barkley advised the contestant to stop rolling and take the $4000. Use probability to explain why he would suggest that. 7 What would you suggest the contestant do? Justify your answer using probability