One the game show Lets Make a Deal, you are shown three doors, A, B, and C, and

Question

One the game show Lets Make a Deal, you are shown three doors, A, B, and C, and behing one of them is the Big Prize. After you select one of them- say, door A- to make things more intersting the host (Monty Hall), who knows what is behind each door opens one fo the doors- say, door B- to reveal that the Big Prize is not there. He then offter you the opportunity to change your selection to the remaining foor, door C.

Suppose there are 5 doors A, B, C, D, and E. Just as in the original problem, let's say you choose door A. Monty, knowing what is behind each door opens three of the doors- say, doors B, C, and D revealing the Big Prize is not there. Monty offers you the opportunity to change your selection to door A. Should you change your selection to door E?

If you switch, the probability of winnning the Big Prize is _______________?

If you do not switch, the probability of winning the Big Prize is_______________?

Explanation / Answer

Yes i change the door.

That's because if i swap the door i will obtain more probabilty to win the big prize

let's start at the beginning

Door A: 20%
Door B:20%
Door C:20%
Door D:20%
Door E:20%

if you choose the door A and the prize is in that door you just have a 20% to win the prize. But also you have a 80% of probabilities against you.

So if you pick at the first try the door A you have more chance that there is a goat.

if you swap picking the goat at the first time you have a 40% of probability to win the big price

A) 40%

B)20%

Door A: 20%
Door B:20%
Door C:20%
Door D:20%
Door E:20%

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

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