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Impossible Maths

Quiz by Vikash

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Q 1/5
Score 0
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?
29
Both remaining doors have an equal chance of winning.
Sticking to your first choice makes you more likely to win.
You can't tell from the information given.
Switching makes you more likely to win.

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5 questions

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Q1
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?
Both remaining doors have an equal chance of winning.
Sticking to your first choice makes you more likely to win.
You can't tell from the information given.
Switching makes you more likely to win.
30s
Q2
Imagine you are looking into a room full of people. A mathematician remarks that it is more likely than not that 2 people in the room share a birthday. If this is true, what is the smallest possible number of people in the room?
180
70
365
23
30s
Q3
30s
Q4
30s
Q5
30s

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