Probability Basicshard
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In a game show, there are 5 doors. Behind one door is a prize, and behind the other 4 are goats. A contestant picks a door, then the host (who knows what is behind the doors) opens one of the other doors that has a goat. The contestant is then given the option to switch their choice to one of the remaining doors or stay with their current choice. Assuming the host always opens a goat door, what is the probability of winning if the contestant decides to switch to one of the other unopened doors?
In a game show, there are 5 doors. Behind one door is a prize, and behind the other 4 are goats. A contestant picks a door, then the host (who knows what is behind the doors) opens one of the other doors that has a goat. The contestant is then given the option to switch their choice to one of the remaining doors or stay with their current choice. Assuming the host always opens a goat door, what is the probability of winning if the contestant decides to switch to one of the other unopened doors?