QUESTION5 Three-Door Game) Behind one of the 3 doors (A, B and C) is a prize of

Question

QUESTION5 Three-Door Game) Behind one of the 3 doors (A, B and C) is a prize of $3M. Follow the three stops below to play. 1. You choose a door 2. The host opens another door with no prize, but cannot open the door you chose. 3. You can either stick to the door you chose first or switch to the other unopened door Suppose you choose door A and then the host opens door B (another door with no prize). Would you stick to door A (you chose first) or the other unopened door (C1 and flippeed probability trees with all probabilities attached. nt. Define the events: AP " A with prize, B. B with prize, CP-C wehprze, bo . B oered and co-Cope ed) Three-Door Game) Find the postorior probabilities below (a) Probability that door A is with the prize given door B is opened Answer format: two decimal b) Probability that door C is with the prize given (c) Probability that door A is with the prize given door C is opened (Answer format: (d) Probability that door B is with the prize given door C is opened Write your answer(s) as 0.12, 0.34, 0.56, 0.78 places) door B is opened Answer format: two decimal is opened jAnswer format two decimal QUESTION 6 (Three-Door Game) Behind one of the 3 doors (A, B and C) is a prize of $3M. Follow the three steps below to play 1. You choose a door 2. The host opens another door with no prize, but cannot open the door you chose. 3. You can either stick to the door you chose first or switch to the other unopened door prizej, Would you stick to door A lyou chose first or the other unopened door ( Suppose you choose door A and then the host opens door B (another door with no Set up original and fipped probability t (Three- Door Game) Suppose you choose door A and then the host opens door B (lanother door with ne prizel, Would you stick to door A , BP-8 with prize, CP-C with prize bo-8 opened and co Copened) trees with all probabilities attached. int Define the events: AP- A with prize, PWm wald- doorBOanother door with no prize, would you stok to door Abouchose foor", oh,meneddou A switch to door C B. stick to door A

Explanation / Answer

5.a) 0.12 b) 0.34 c) 0.56 d)0.78

6. switch to door C is right answer

option A is right.

since  Google “Monty Hall Problem simulation” and try the various computer simulations yourself and you will see that you double your actual wins by switching doors. One of my correspondents, who was skeptical at first, ran his own simulation over 10,000 trials, concluding that “switching doors yields a 2/3 success rate while running without switching doors yields a 1/3 success rate.”

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.