Question: need help on the code . 3. (12 paints) Suppose Monty Hall wants to make his game show more interesting. In the new version, there

 need help on the code . 3. (12 paints) Suppose Monty

need help on the code .

3. (12 paints) Suppose Monty Hall wants to make his game show more interesting. In the new version, there are 7 doors and 2 cars behind the doors. The other 5 doors have goats behind them. A contestant picks a door. Monty Hall opens 3 of the doors with goats behind thenm (never the door that the contestant picked or a door with a car). The contestant then has the choice of switching doors. Write an R code to find the probability that the contestant wins a car if he/she switches doors. Your code should output this probability. Start your program with rn(list = 1s()) to clear all variables in the environment. 4. (12 points) Solve problem 3 by hand, that is, find the probability that the contestant wins a car if he/she switches doors. Is it better to switch or stick with the original guess

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