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/sci/ - Science & Math


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5495406 No.5495406[DELETED]  [Reply] [Original]

Is Who wants to be a millionaire just a game of luck?

I mean, there's 33.34% chance of being right unless the person happen to know the answer, and lifelines can only get you so far into the game.

>> No.5495419

>>5495406
Let's say there are 15 questions with 4 choices each. Let's also say there are 3 lifelines: call-a-friend, 50-50, and ask-the-audience.

For each of the 15 questions, there is only 1 correct answer, and 3 incorrect answers, so immediately your chances are 1/3 = 33.34%. You can use each lifeline once. Using phone-a-friend, let's say gives you a 95% chance the person you call is correct. So 1 question is 95%. Similarly, we can say ask-the-audience gives you a 95% chance. Finally, 50-50 will remove 2 wrong answers, so you have 1 right answer and 1 wrong answer, so you basically know the answer. To recap:

Question 1: 33.34%

Question 2: 33.34%

Question 3: 33.34%

Question 4: 95% <--- ask-the-audience

Question 5: 33.34%

Question 6: 33.34%

Question 7: 33.34%

Question 8: 33.34%

Question 9: 95% <--- phone-a-friend

Question 10: 33.34%

Question 11: 33.34%

Question 12: 33.34%

Question 13: 33.34%

Question 14: 33.34%

Question 15: 100% <--- 50-50

Total: 690.08%

Divided by 15 questions = 46.00%

So basically, it's more a less a game of chance, but more than half the people on the show will lose, so it's not very fair. That show is making tons of money off of people.

>> No.5495437

>>5495419
0/10.

>> No.5495460

>>5495419

Isn't it 1/4, giving yourself a 25% chance? So, if there are 15 questions, with 1/4 of a chance each, the real answer is 0.25^15, which, due to 4can being a faggot, yields a percentage lower than what you have.

>> No.5495481
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5495481