McDonald\'s Restaurant recently had a promotion with their Happy Meal toys. Nath
ID: 3252134 • Letter: M
Question
McDonald's Restaurant recently had a promotion with their Happy Meal toys. Nathan, a small boy, really wants the red miniature Hot Wheels car that is an option for the toy provided in the Happy Meal for boys. The red car is the hardest toy to get, and only shows up in 20% of the Happy Meals. The other toy options occur 80% of the time. Use the random digits below to represent simulations where 0-1 is the red car and 2-9 is any other toy. 68051 61383 28271 54165 03040 03299 55638 72064 96227 50297 88086 48161 94495 1) Starting with the first random digit above, how many Happy Meals does Nathan have, to, open until he gets his first red car? 2) Nathan has four brothers, and of course they all want a red car. Let each of the sixty-five random digits above represent 13 simulations of Nathan's mom buying 5 Happy Meals. Based on this small simulation, what is the average number of red cars Nathan and his brothers can expect to see per trip in these 13 trips to McDonald's? For this answer, you can report the value to one decimal place.Explanation / Answer
For the given random digits, if we map the rewards, below table gives the complete rewards list on the basis of random digits
(1) As we see the first red car will be allotted for the third random number. Hence Nathan has to buy 3 happy meals in order to have first red car for him.
(2) If we divide the given numbers in 13 trips, below are the number of red cars would be rewarded based on the given simulation
Total number of red cars in 13 trips = 14
Hence expected number of red cars per trip = 14/13 = 1.1
Number Reward 6 Any other Toy 8 Any other Toy 0 Red Car 5 Any other Toy 1 Red Car 6 Any other Toy 1 Red Car 3 Any other Toy 8 Any other Toy 3 Any other Toy 2 Any other Toy 8 Any other Toy 2 Any other Toy 7 Any other Toy 1 Red Car 5 Any other Toy 4 Any other Toy 1 Red Car 6 Any other Toy 5 Any other Toy 0 Red Car 3 Any other Toy 0 Red Car 4 Any other Toy 0 Red Car 0 Red Car 3 Any other Toy 2 Any other Toy 9 Any other Toy 9 Any other Toy 5 Any other Toy 5 Any other Toy 6 Any other Toy 3 Any other Toy 8 Any other Toy 7 Any other Toy 2 Any other Toy 0 Red Car 6 Any other Toy 4 Any other Toy 9 Any other Toy 6 Any other Toy 2 Any other Toy 2 Any other Toy 7 Any other Toy 5 Any other Toy 0 Red Car 2 Any other Toy 9 Any other Toy 7 Any other Toy 8 Any other Toy 8 Any other Toy 0 Red Car 8 Any other Toy 6 Any other Toy 4 Any other Toy 8 Any other Toy 1 Red Car 6 Any other Toy 1 Red Car 9 Any other Toy 4 Any other Toy 4 Any other Toy 9 Any other Toy 5 Any other Toy